?_backward_trig_transform
?_commit_Helmholtz_2D
?_commit_Helmholtz_3D
?_commit_sph_np
?_commit_sph_p
?_commit_trig_transform
?_forward_trig_transform
?_Helmholtz_2D
?_Helmholtz_3D
?_init_Helmholtz_2D
?_init_Helmholtz_3D
?_init_sph_np
?_init_sph_p
?_init_trig_transform
?_sph_np
?_sph_p
?asum
?axpby
?axpy
?axpyi
?bdsdc
?bdsqr
?cabs1
?ConvExec
?ConvExec1D
?ConvExecX
?ConvExecX1D
?ConvNewTask
?ConvNewTask1D
?ConvNewTaskX
?copy
?CorrExec
?CorrExec1D
?CorrExecX
?CorrExecX1D
?CorrNewTask
?CorrNewTask1D
?CorrNewTaskX
?CorrNewTaskX1D
?dbtf2
?dbtrf
?disna
?dot
?dotc
?dotci
?doti
?dotu
?dotui
?dtsvb
?dttrf
?dttrfb
?dttrsb
?dttrsv
?gamn2d
?gamx2d
?gbbrd
?gbcon
?gbequ
?gbequb
?gbmv
?gbrfs
?gbrfsx
?gbsv
?gbsvx
?gbsvxx
?gbtf2
?gbtrf
?gbtrs
?gebak
?gebal
?gebd2
?gebr2d
?gebrd
?gebs2d
?gecon
?geequ
?geequb
?gees
?geesx
?geev
?geevx
?gehd2
?gehrd
?gejsv
?gelq2
?gelqf
?gels
?gelsd
?gelss
?gelsy
?gem2vc
?gem2vu
?gemm
?gemm3m
?gemv
?geql2
?geqlf
?geqp3
?geqpf
?geqr2
?geqr2p
?geqrf
?geqrfp
?ger
?gerc
?gerfs
?gerfsx
?gerq2
?gerqf
?geru
?gerv2d
?gesc2
?gesd2d
?gesdd
?gesv
?gesvd
?gesvj
?gesvx
?gesvxx
?getc2
?getf2
?getrf
?getri
?getrs
?ggbak
?ggbal
?gges
?ggesx
?ggev
?ggevx
?ggglm
?gghrd
?gglse
?ggqrf
?ggrqf
?ggsvd
?ggsvp
?gsum2d
?gsvj0
?gsvj1
?gtcon
?gthr
?gthrz
?gtrfs
?gtsv
?gtsvx
?gttrf
?gttrs
?gtts2
?hbev
?hbevd
?hbevx
?hbgst
?hbgv
?hbgvd
?hbgvx
?hbtrd
?hecon
?heequb
?heev
?heevd
?heevr
?heevx
?heft2
?hegst
?hegv
?hegvd
?hegvx
?hemm
?hemv
?her
?her2
?her2k
?herdb
?herfs
?herfsx
?herk
?hesv
?hesvx
?hesvxx
?hetrd
?hetrf
?hetri
?hetrs
?hfrk
?hgeqz
?hpcon
?hpev
?hpevd
?hpevx
?hpgst
?hpgv
?hpgvd
?hpgvx
?hpmv
?hpr
?hpr2
?hprfs
?hpsv
?hpsvx
?hptrd
?hptrf
?hptri
?hptrs
?hsein
?hseqr
?isnan
?jacobi
?jacobi_delete
?jacobi_init
?jacobi_solve
?jacobix
?la_syamv
?labrd
?lacgv
?lacn2
?lacon
?lacpy
?lacrm
?lacrt
?ladiv
?lae2
?laebz
?laed0
?laed1
?laed2
?laed3
?laed4
?laed5
?laed6
?laed7
?laed8
?laed9
?laeda
?laein
?laesy
?laev2
?laexc
?lag2
?lags2
?lagtf
?lagtm
?lagts
?lagv2
?lahef
?lahqr
?lahr2
?lahrd
?laic1
?laisnan
?laln2
?lals0
?lalsa
?lalsd
?lamc1
?lamc2
?lamc3
?lamc4
?lamc5
?lamch
?lamrg
?lamsh
?laneg
?langb
?lange
?langt
?lanhb
?lanhe
?lanhf
?lanhp
?lanhs
?lansb
?lansf
?lansp
?lanst/?lanht
?lansy
?lantb
?lantp
?lantr
?lanv2
?lapll
?lapmt
?lapy2
?lapy3
?laqgb
?laqge
?laqhb
?laqp2
?laqps
?laqr0
?laqr1
?laqr2
?laqr3
?laqr4
?laqr5
?laqsb
?laqsp
?laqsy
?laqtr
?lar1v
?lar2v
?laref
?larf
?larfb
?larfg
?larfgp
?larfp
?larft
?larfx
?largv
?larnv
?larra
?larrb
?larrc
?larrd
?larre
?larrf
?larrj
?larrk
?larrr
?larrv
?lartg
?lartv
?laruv
?larz
?larzb
?larzt
?las2
?lascl
?lasd0
?lasd1
?lasd2
?lasd3
?lasd4
?lasd5
?lasd6
?lasd7
?lasd8
?lasd9
?lasda
?lasdq
?lasdt
?laset
?lasorte
?lasq1
?lasq2
?lasq3
?lasq4
?lasq5
?lasq6
?lasr
?lasrt
?lasrt2
?lassq
?lasv2
?laswp
?lasy2
?lasyf
?latbs
?latdf
?latps
?latrd
?latrs
?latrz
?lauu2
?lauum
?nrm2
?opgtr
?opmtr
?org2l/?ung2l
?org2r/?ung2r
?orgbr
?orghr
?orgl2/?ungl2
?orglq
?orgql
?orgqr
?orgr2/?ungr2
?orgrq
?orgtr
?orm2l/?unm2l
?orm2r/?unm2r
?ormbr
?ormhr
?orml2/?unml2
?ormlq
?ormql
?ormqr
?ormr2/?unmr2
?ormr3/?unmr3
?ormrq
?ormrz
?ormtr
?pbcon
?pbequ
?pbrfs
?pbstf
?pbsv
?pbsvx
?pbtf2
?pbtrf
?pbtrs
?pftrf
?pftri
?pftrs
?pocon
?poequ
?poequb
?porfs
?porfsx
?posv
?posvx
?posvxx
?potf2
?potrf
?potri
?potrs
?ppcon
?ppequ
?pprfs
?ppsv
?ppsvx
?pptrf
?pptri
?pptrs
?pstf2
?pstrf
?ptcon
?pteqr
?ptrfs
?ptsv
?ptsvx
?pttrf
?pttrs
?pttrsv
?ptts2
?rot
?rot
?rot
?rotg
?roti
?rotm
?rotmg
?rscl
?sbev
?sbevd
?sbevx
?sbgst
?sbgv
?sbgvd
?sbgvx
?sbmv
?sbtrd
?scal
?sctr
?sdot
?sfrk
?spcon
?spev
?spevd
?spevx
?spgst
?spgv
?spgvd
?spgvx
?spmv
?spmv
?spmv
?spr
?spr
?spr
?spr2
?sprfs
?spsv
?spsvx
?sptrd
?sptrf
?sptri
?sptrs
?stebz
?stedc
?stegr
?stein
?stemr
?steqr
?steqr2
?sterf
?stev
?stevd
?stevr
?stevx
?sum1
?swap
?sycon
?syequb
?syev
?syevd
?syevr
?syevx
?sygs2/?hegs2
?sygst
?sygv
?sygvd
?sygvx
?symm
?symv
?symv
?symv
?syr
?syr
?syr
?syr2
?syr2k
?syrdb
?syrfs
?syrfsx
?syrk
?sysv
?sysvx
?sysvxx
?sytd2/?hetd2
?sytf2
?sytrd
?sytrf
?sytri
?sytrs
?tbcon
?tbmv
?tbsv
?tbtrs
?tfsm
?tftri
?tfttp
?tfttr
?tgevc
?tgex2
?tgexc
?tgsen
?tgsja
?tgsna
?tgsy2
?tgsyl
?tpcon
?tpmv
?tprfs
?tpsv
?tptri
?tptrs
?tpttf
?tpttr
?trbr2d
?trbs2d
?trcon
?trevc
?trexc
?trmm
?trmv
?trnlsp_delete
?trnlsp_get
?trnlsp_init
?trnlsp_solve
?trnlspbc_delete
?trnlspbc_get
?trnlspbc_init
?trnlspbc_solve
?trrfs
?trrv2d
?trsd2d
?trsen
?trsm
?trsna
?trsv
?trsyl
?trti2
?trtri (LAPACK)
?trtrs (LAPACK)
?trttf
?trttp
?tzrzf
?ungbr
?unghr
?unglq
?ungql
?ungqr
?ungrq
?ungtr
?unmbr
?unmhr
?unmlq
?unmql
?unmqr
?unmrq
?unmrz
?unmtr
?upgtr
?upmtr
1-norm value
?lanhe
p?lansy , p?lanhe
?lanhp
?lanhf
?lanst/?lanht
?lansy
p?lange
?lange
?langt
?lanhb
?lansf
?lansb
?lantr
?lantb
p?lantr
?lantp
?lanhs
p?lanhs
complex Hermitian matrix
?lanhe
p?lansy , p?lanhe
?lanhp
packed storage
complex Hermitian matrix in RFP format
complex Hermitian tridiagonal matrix
complex symmetric matrix
general rectangular matrix
p?lange
?lange
general tridiagonal matrix
Hermitian band matrix
real symmetric matrix
?lansy
p?lansy , p?lanhe
real symmetric matrix in RFP format
real symmetric tridiagonal matrix
symmetric band matrix
symmetric matrix
?lansp
packed storage
trapezoidal matrix
triangular band matrix
triangular matrix
?lantr
p?lantr
?lantp
packed storage
upper Hessenberg matrix
?lanhs
p?lanhs
absolute value of a vector element
i?amax
i?amin
largest
smallest
accuracy modes, in VML
adding magnitudes of elements of a distributed vector
adding magnitudes of the vector elements
amax
amin
arguments
Matrix Arguments
Vector Arguments
Vector Arguments in BLAS
matrix
sparse vector
vector
array descriptor
Overview
Overview
asum
auxiliary routines
LAPACK Auxiliary and Utility Routines
Auxiliary Routines
LAPACK
ScaLAPACK
axpby
axpy
axpyi
balancing a matrix
band storage scheme
basic quasi-random number generator
Basic Generators
Niederreiter
Sobol
basic random number generators
Random Number Generators
Basic Generators
Fast Mersenne Twister
Basic Generators
SFMT19937
GFSR
MCG, 32-bit
MCG, 59-bit
Mersenne Twister
Basic Generators
MT19937
MT2203
MRG
Wichmann-Hill
bdsdc
bdsqr
Bernoulli
Beta
bidiagonal matrix
Singular Value Decomposition
Singular Value Decomposition
LAPACK
ScaLAPACK
Binomial
bisection
BLACS
ScaLAPACK Routines
?gamn2d
?gamx2d
?gebr2d
?gebs2d
?gerv2d
?gesd2d
?gsum2d
?trbr2d
?trbs2d
?trrv2d
?trsd2d
blacs_abort
blacs_barrier
blacs_exit
blacs_freebuff
blacs_get
blacs_gridexit
blacs_gridinfo
blacs_gridinit
blacs_gridmap
blacs_pcoord
blacs_pinfo
blacs_pnum
blacs_set
blacs_setup
broadcast
combines
destruction routines
informational routines
initialization routines
miscellaneous routines
point to point communication
usage examples
blacs_abort
blacs_barrier
blacs_exit
blacs_freebuff
blacs_get
blacs_gridexit
blacs_gridinfo
blacs_gridinit
blacs_gridmap
blacs_pcoord
blacs_pinfo
blacs_pnum
blacs_set
blacs_setup
BLACS routines
Matrix Shapes
matrix shapes
BLAS Code Examples
BLAS Level 1 routines
BLAS Level 1 Routines and Functions
?asum
?axpby
?axpy
?cabs1
?copy
?dot
?dotc
?dotu
?nrm2
?rot
?rotg
?rotm
?rotmg
?scal
?sdot
?swap
BLAS Code Examples
i?amax
i?amin
?asum
BLAS Level 1 Routines and Functions
?asum
?axpby
?axpy
BLAS Level 1 Routines and Functions
?axpy
?cabs1
BLAS Level 1 Routines and Functions
?cabs1
?copy
BLAS Level 1 Routines and Functions
?copy
?dot
BLAS Level 1 Routines and Functions
?dot
?dotc
BLAS Level 1 Routines and Functions
?dotc
?dotu
BLAS Level 1 Routines and Functions
?dotu
?nrm2
BLAS Level 1 Routines and Functions
?nrm2
?rot
BLAS Level 1 Routines and Functions
?rot
?rotg
BLAS Level 1 Routines and Functions
?rotg
?rotm
BLAS Level 1 Routines and Functions
?rotm
?rotmg
?rotmq
?scal
BLAS Level 1 Routines and Functions
?scal
?sdot
BLAS Level 1 Routines and Functions
?sdot
?swap
BLAS Level 1 Routines and Functions
?swap
code example
i?amax
BLAS Level 1 Routines and Functions
i?amax
i?amin
BLAS Level 1 Routines and Functions
i?amin
BLAS Level 2 routines
BLAS Level 2 Routines
?gbmv
?gem2vc
?gem2vu
?gemv
?ger
?gerc
?geru
?hbmv
?hemv
?her
?her2
?hpmv
?hpr
?hpr2
?sbmv
?spmv
?spr
?spr2
?symv
?syr
?syr2
?tbmv
?tbsv
?tpmv
?tpsv
?trmv
?trsv
BLAS Code Examples
?gbmv
BLAS Level 2 Routines
?gbmv
?gem2vc
?gem2vu
?gemv
BLAS Level 2 Routines
?gemv
?ger
BLAS Level 2 Routines
?ger
?gerc
BLAS Level 2 Routines
?gerc
?geru
BLAS Level 2 Routines
?geru
?hbmv
BLAS Level 2 Routines
?hbmv
?hemv
BLAS Level 2 Routines
?hemv
?her
BLAS Level 2 Routines
?her
?her2
BLAS Level 2 Routines
?her2
?hpmv
BLAS Level 2 Routines
?hpmv
?hpr
BLAS Level 2 Routines
?hpr
?hpr2
BLAS Level 2 Routines
?hpr2
?sbmv
?sbmv
BLAS Level 2 Routines
?spmv
BLAS Level 2 Routines
?spmv
?spr
BLAS Level 2 Routines
?spr
?spr2
BLAS Level 2 Routines
?spr2
?symv
?symv
BLAS Level 2 Routines
?syr
BLAS Level 2 Routines
?syr
?syr2
BLAS Level 2 Routines
?syr2
?tbmv
?tbmv
BLAS Level 2 Routines
?tbsv
BLAS Level 2 Routines
?tbsv
?tpmv
?tpmv
BLAS Level 2 Routines
?tpsv
BLAS Level 2 Routines
?tpsv
?trmv
?trmv
BLAS Level 2 Routines
?trsv
BLAS Level 2 Routines
?trsv
code example
BLAS Level 3 routines
?gemm
BLAS Level 3 Routines
?gemm3m
?hemm
?her2k
?herk
?symm
?syr2k
?syrk
?tfsm
?trmm
?trsm
BLAS Code Examples
?gemm
?gemm
BLAS Level 3 Routines
?gemm3m
?hemm
BLAS Level 3 Routines
?hemm
?her2k
?her2k
BLAS Level 3 Routines
?herk
BLAS Level 3 Routines
?herk
?symm
BLAS Level 3 Routines
?symm
?syr2k
BLAS Level 3 Routines
?syr2k
?syrk
?syrk
BLAS Level 3 Routines
?tfsm
?trmm
?trmm
BLAS Level 3 Routines
?trsm
?trsm
BLAS Level 3 Routines
code example
BLAS-like extensions
BLAS-like transposition routines
mkl_?imatcopy
mkl_?omatadd
mkl_?omatcopy
mkl_?omatcopy2
mkl_?imatcopy
mkl_?omatadd
mkl_?omatcopy
mkl_?omatcopy2
BLAS routines
BLAS and Sparse BLAS Routines
routine groups
block-cyclic distribution
Overview
Overview
block reflector
general matrix
?larzb
p?larzb
LAPACK
ScaLAPACK
general rectangular matrix
?larfb
p?larfb
LAPACK
ScaLAPACK
triangular factor
?larft
?larzt
p?larft
p?larzt
LAPACK
?larft
?larzt
ScaLAPACK
p?larft
p?larzt
block-splitting method
BRNG
Random Number Generators
Conventions
Basic Generators
Bunch-Kaufman factorization
Routines for Matrix Factorization
Routines for Matrix Factorization
Hermitian matrix
?hetrf
packed storage
symmetric matrix
?sytrf
packed storage
Cauchy
caxpby
caxpy
caxpyi
cbdsqr
CBLAS
CBLAS Arguments
Level 1 CBLAS
Level 2 CBLAS
Level 3 CBLAS
Sparse CBLAS
arguments
level 1 (vector operations)
level 2 (matrix-vector operations)
level 3 (matrix-matrix operations)
sparse BLAS
CBLAS to the BLAS
ccombamax1
ccopy
cdbtf2
cdbtrf
cdotc
cdotci
cdotu
cdotui
cdtsvb
cdttrf
cdttrfb
cdttrsb
cdttrsv
cgamn2d
cgamx2d
cgbcon
cgbequ
cgbequb
cgbmv
cgbrfs
cgbrfsx
cgbsv
cgbsvx
cgbsvxx
cgbtf2
cgbtrf
cgbtrs
cgebak
cgebal
cgebd2
cgebr2d
cgebrd
cgebs2d
cgecon
cgeequ
cgeequb
cgees
cgeesx
cgeev
cgeevx
cgehd2
cgehrd
cgelq2
cgelqf
cgels
cgelsd
cgelss
cgelsy
cgem2vc
cgemm
cgemm3m
cgemv
cgeql2
cgeqlf
cgeqp3
cgeqpf
cgeqr2
cgeqr2p
cgeqrf
cgeqrfp
cgerc
cgerfs
cgerfsx
cgerq2
cgerqf
cgeru
cgerv2d
cgesc2
cgesd2d
cgesdd
cgesv
cgesvd
cgesvx
cgesvxx
cgetc2
cgetf2
cgetrf
cgetri
cgetrs
cggbak
cggbal
cgges
cggesx
cggev
cggevx
cggglm
cgghrd
cgglse
cggqrf
cggrqf
cggsvd
cggsvp
cgsum2d
cgtcon
cgthr
cgthrz
cgtrfs
cgtsv
cgtsvx
cgttrf
cgttrs
cgtts2
chbev
chbevd
chbevx
chbgv
chbgvd
chbgvx
chbmv
chbtrd
checon
cheequb
cheev
cheevd
cheevr
cheevx
chegs2
chegst
chegv
chegvd
chegvx
chemm
chemv
cher
cher2
cher2k
cherdb
cherfs
cherfsx
cherk
chesv
chesvx
chesvxx
chetd2
chetf2
chetrd
chetrf
chetri
chetrs
chfrk
chgeqz
chla_transtype
Choleskyfactorization
p?posvx
Hermitian positive-definite matrix
Cholesky factorization
?pftrf
?potrf
?posvx
?posvxx
?pftri
?pftrs
p?potrf
p?pbtrs
?pbtrs
p?pbtrf
?pbtrf
?pbsvx
?pptrf
?ppsvx
?pstrf
?pstf2
?pbstf
p?posvx
Hermitian positive-definite matrix
?pftrf
?potrf
?posvx
?posvxx
?pftri
?pftrs
p?potrf
p?pbtrs
?pbtrs
p?pbtrf
?pbtrf
?pbsvx
?pptrf
?ppsvx
band storage
p?pbtrs
?pbtrs
p?pbtrf
?pbtrf
?pbsvx
packed storage
?pptrf
?ppsvx
Hermitian positive semidefinite matrix
Hermitian positive semi-definite matrix
split
symmetric positive-definite matrix
?pftrf
?potrf
?posvx
p?posvx
?posvxx
?pftri
?pftrs
p?potrf
p?pbtrs
?pbtrs
p?pbtrf
?pbtrf
?pbsvx
?pptrf
?ppsvx
band storage
p?pbtrs
?pbtrs
p?pbtrf
?pbtrf
?pbsvx
packed storage
?pptrf
?ppsvx
symmetric positive semidefinite matrix
symmetric positive semi-definite matrix
chpcon
chpev
chpevd
chpevx
chpgst
chpgv
chpgvd
chpgvx
chprfs
chpsv
chpsvx
chptrd
chptrf
chptri
chptrs
chsein
chseqr
C interface conventions
C Interface Conventions
LAPACK
clabrd
clacgv
clacn2
clacon
clacpy
clacrm
clacrt
cladiv
claed0
claed7
claed8
claein
claesy
claev2
clag2z
clagtm
clahef
clahqr
clahr2
clahrd
claic1
clals0
clalsa
clalsd
clangb
clange
clangt
clanhb
clanhe
clanhf
clanhp
clanhs
clanht
clansb
clansp
clansy
clantb
clantp
clantr
clapll
clapmt
claqgb
claqge
claqhb
claqp2
claqps
claqr0
claqr1
claqr2
claqr3
claqr4
claqr5
claqsb
claqsp
claqsy
clar1v
clar2v
clarf
clarfb
clarfg
clarfgp
clarfp
clarft
clarfx
clargv
clarnv
clarrv
clartg
clartv
clarz
clarzb
clarzt
clascl
claset
clasr
classq
claswp
clasyf
clatbs
clatdf
clatps
clatrd
clatrs
clatrz
clauu2
clauum
ClearErrorCallBack
ClearErrStatus
code examples
BLAS Code Examples
BLAS Level 1 function
BLAS Level 1 routine
BLAS Level 2 routine
BLAS Level 3 routine
CommitDescriptor
CommitDescriptorDM
communication subprograms
complex division in real arithmetic
complex Hermitian matrix
?hetf2
1-norm value
?lanhe
p?lansy , p?lanhe
LAPACK
ScaLAPACK
factorization with diagonal pivoting method
Frobenius norm
?lanhe
p?lansy , p?lanhe
LAPACK
ScaLAPACK
infinity- norm
?lanhe
p?lansy , p?lanhe
LAPACK
ScaLAPACK
largest absolute value of element
?lanhe
p?lansy , p?lanhe
LAPACK
ScaLAPACK
complex Hermitian matrix in packed form
?lanhp
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
complex Hermitian tridiagonal matrix
?lanst/?lanht
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
complex matrix
complex elementary reflector
p?larzc
ScaLAPACK
complex symmetric matrix
?lansy
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
complex vector
1-norm using true absolute value
?sum1
p?sum1
LAPACK
ScaLAPACK
conjugation
?lacgv
p?lacgv
LAPACK
ScaLAPACK
complex vector conjugation
?lacgv
p?lacgv
LAPACK
ScaLAPACK
compressed sparse vectors
computational node
Computational Routines
ComputeBackward
ComputeBackwardDM
ComputeForward
ComputeForwardDM
condition number
?gbcon
?hecon
?hpcon
?pocon
?pbcon
?ppcon
?ptcon
?sycon
?disna
?spcon
?trcon
?tbcon
?tpcon
?gtcon
band matrix
general matrix
?gecon
p?gecon
p?trcon
p?pocon
LAPACK
ScaLAPACK
p?gecon
p?trcon
p?pocon
Hermitian matrix
?hecon
?hpcon
packed storage
Hermitian positive-definite matrix
?pocon
?pbcon
?ppcon
?ptcon
band storage
packed storage
tridiagonal
symmetric matrix
?sycon
?disna
?spcon
packed storage
symmetric positive-definite matrix
?pocon
?pbcon
?ppcon
?ptcon
band storage
packed storage
tridiagonal
triangular matrix
?trcon
?tbcon
?tpcon
band storage
packed storage
tridiagonal matrix
configuration parameters, in FFT interface
Continuous Distribution Generators
Continuous Distributions
ConvCopyTask
ConvDeleteTask
converting a DOUBLE COMPLEX triangular matrix to COMPLEX
converting a double-precision triangular matrix to single-precision
converting a sparse vector into compressed storage form
?gthr
and writing zeros to the original vector
converting compressed sparse vectors into full storage form
ConvInternalPrecision
Convolution and Correlation
Convolution Functions
Exec
ExecX
ExecX1D
NewTask
NewTask1D
NewTaskX
NewTaskX1D
CopyTask
DeleteTask
SetDecimation
SetInternalPrecision
?ConvExec
?ConvExecX
?ConvExecX1D
?ConvNewTask
?ConvNewTask1D
?ConvNewTaskX
?ConvNewTaskX1D
ConvCopyTask
ConvDeleteTask
ConvSetDecimation
ConvSetInternalPrecision
CorrCopyTask
CorrDeleteTask
Convolution Functions:?ConvExec1D
Convolution Functions:ConvSetMode
Convolution Functions:ConvSetStart
ConvSetMode
ConvSetStart
copy
CopyDescriptor
copying
p?copy
?copy
distributed vectors
matrices
p?lacp2
p?lacp3
distributed
global parallel
local replicated
two-dimensional
?lacpy
p?lacpy
LAPACK
ScaLAPACK
vectors
copying a matrix
?trttf
?tfttr
?tpttr
?tpttf
?tfttp
?trttp
CopyStream
CopyStreamState
CorrCopyTask
CorrDeleteTask
Correlation Functions
Exec
Exec1D
ExecX
ExecX1D
NewTask
NewTask1D
NewTaskX
NewTaskX1D
SetDecimation
SetInternalPrecision
?CorrExec
?CorrExec1D
?CorrExecX
?CorrExecX1D
?CorrNewTask
?CorrNewTask1D
?CorrNewTaskX
?CorrNewTaskX1D
CorrSetDecimation
CorrSetInternalPrecision
Correlation Functions:CorrSetMode
Correlation Functions:CorrSetStart
CorrSetInternalDecimation
CorrSetInternalPrecision
CorrSetMode
CorrSetStart
cpbcon
cpbequ
cpbrfs
cpbstf
cpbsv
cpbsvx
cpbtf2
cpbtrf
cpbtrs
cpftrf
cpftri
cpftrs
cpocon
cpoequ
cpoequb
cporfs
cporfsx
cposv
cposvx
cposvxx
cpotf2
cpotrf
cpotri
cpotrs
cppcon
cppequ
cpprfs
cppsv
cppsvx
cpptrf
cpptri
cpptrs
cpstf2
cpstrf
cptcon
cpteqr
cptrfs
cptsv
cptsvx
cpttrf
cpttrs
cpttrsv
cptts2
Cray
CreateDescriptor
CreateDescriptorDM
crot
crotg
crscl
cscal
csctr
cspcon
cspmv
cspr
csprfs
cspsv
cspsvx
csptrf
csptri
csptrs
csscal
cstedc
cstegr
cstein
cstemr
csteqr
cswap
csycon
csyequb
csymm
csymv
csyr
csyr2k
csyrfs
csyrfsx
csyrk
csysv
csysvx
csysvxx
csytf2
csytrf
csytri
csytrs
ctbcon
ctbmv
ctbrfs
ctbsv
ctbtrs
ctfsm
ctftri
ctfttp
ctfttr
ctgevc
ctgex2
ctgexc
ctgsen
ctgsja
ctgsna
ctgsy2
ctgsyl
ctpcon
ctpmv
ctprfs
ctpsv
ctptri
ctptrs
ctpttf
ctpttr
ctrbr2d
ctrbs2d
ctrcon
ctrevc
ctrexc
ctrmm
ctrmv
ctrrfs
ctrrv2d
ctrsd2d
ctrsen
ctrsm
ctrsna
ctrsv
ctrsyl
ctrti2
ctrtri
ctrtrs
ctrttf
ctrttp
ctzrzf
cung2l
cung2r
cungbr
cunghr
cungl2
cunglq
cungql
cungqr
cungr2
cungrq
cungtr
cunm2l
cunm2r
cunmbr
cunmhr
cunml2
cunmlq
cunmql
cunmqr
cunmr2
cunmr3
cunmrq
cunmrz
cunmtr
cupgtr
cupmtr
d_backward_trig_transform
d_commit_Helmholtz_2D
d_commit_Helmholtz_3D
d_commit_sph_np
d_commit_sph_p
d_commit_trig_transform
d_forward_trig_transform
d_Helmholtz_2D
d_Helmholtz_3D
d_init_Helmholtz_2D
d_init_Helmholtz_3D
d_init_sph_np
d_init_sph_p
d_init_trig_transform
d_sph_np
d_sph_p
dasum
data type
Data Types, Accuracy Modes, and Performance Tips
Notational Conventions
in VML
shorthand
Data Types
daxpby
daxpy
daxpyi
dbdsdc
dbdsqr
dcabs1
dcg
dcg_check
dcg_get
dcg_init
dcgmrhs
dcgmrhs_check
dcgmrhs_get
dcgmrhs_init
dcopy
dcsrilu0
dcsrilut
ddbtf2
ddbtrf
ddisna
ddot
ddoti
ddtsvb
ddttrf
ddttrfb
ddttrsb
ddttrsv
DeleteStream
descriptor configuration
Cluster FFT Interface
FFT Interface
cluster FFT
FFT
descriptor manipulation
Cluster FFT Interface
FFT Interface
cluster FFT
FFT
dfgmres
dfgmres_check
dfgmres_get
dfgmres_init
DftiCommitDescriptor
DftiCommitDescriptorDM
DftiComputeBackward
DftiComputeBackwardDM
DftiComputeForward
DftiComputeForwardDM
DftiCopyDescriptor
DftiCreateDescriptor
DftiCreateDescriptorDM
DftiErrorClass
DftiErrorMessage
DftiFreeDescriptor
DftiFreeDescriptorDM
DftiGetValue
DftiGetValueDM
DftiSetValue
DftiSetValueDM
DFT routines
descriptor configuration
SetValue
SetValue
dgamn2d
dgamx2d
dgbcon
dgbequ
dgbequb
dgbmv
dgbrfs
dgbrfsx
dgbsv
dgbsvx
dgbsvxx
dgbtf2
dgbtrf
dgbtrs
dgebak
dgebal
dgebd2
dgebr2d
dgebrd
dgebs2d
dgecon
dgeequ
dgeequb
dgees
dgeesx
dgeev
dgeevx
dgehd2
dgehrd
dgejsv
dgelq2
dgelqf
dgels
dgelsd
dgelss
dgelsy
dgem2vu
dgemm
dgemv
dgeql2
dgeqlf
dgeqp3
dgeqpf
dgeqr2
dgeqr2p
dgeqrf
dgeqrfp
dger
dgerfs
dgerfsx
dgerq2
dgerqf
dgerv2d
dgesc2
dgesd2d
dgesdd
dgesv
dgesvd
dgesvj
dgesvx
dgesvxx
dgetc2
dgetf2
dgetrf
dgetri
dgetrs
dggbak
dggbal
dgges
dggesx
dggev
dggevx
dggglm
dgghrd
dgglse
dggqrf
dggrqf
dggsvd
dggsvp
dgsum2d
dgsvj0
dgsvj1
dgtcon
dgthr
dgthrz
dgtrfs
dgtsv
dgtsvx
dgttrf
dgttrs
dgtts2
dhbgst
dhgeqz
dhsein
dhseqr
diagonal elements
?laset
p?laset
LAPACK
ScaLAPACK
diagonally dominant-like banded matrix
p?dbtrs
solving systems of linear equations
diagonally dominant-like tridiagonal matrix
p?dttrs
solving systems of linear equations
diagonally dominant tridiagonal matrix
?dttrsb
solving systems of linear equations
diagonal pivoting factorization
?hesvxx
?sysvxx
Hermitian indefinite matrix
symmetric indefinite matrix
dimension
Direct Sparse Solver (DSS) Interface Routines
Discrete Distribution Generators
Discrete Distributions
Discrete Fourier Transform
SetValue
SetValue
disna
disnan
distributed complex matrix
p?tranu
p?tranc
transposition
p?tranu
p?tranc
distributed general matrix
p?agemv
p?gemv
p?ger
p?geru
p?gerc
matrix-vector product
p?agemv
p?gemv
rank-1 update
rank-1 update, unconjugated
rank-l update, conjugated
distributed Hermitian matrix
p?ahemv
p?hemv
p?her
p?her2
p?herk
matrix-vector product
p?ahemv
p?hemv
rank-1 update
rank-2 update
rank-k update
distributed matrix equation
p?trsm
AX = B
distributed matrix-matrix operation
rank-k update
p?herk
distributed Hermitian matrix
transposition
p?tranu
p?tranc
p?tran
complex matrix
complex matrix, conjugated
real matrix
distributed matrix-vector operation
p?agemv
p?gemv
p?ahemv
p?hemv
p?asymv
p?symv
p?trmv
p?atrmv
p?ger
p?her
p?syr
p?gerc
p?geru
product
p?agemv
p?gemv
p?ahemv
p?hemv
p?asymv
p?symv
p?trmv
p?atrmv
Hermitian matrix
p?ahemv
p?hemv
symmetric matrix
p?asymv
p?symv
triangular matrix
p?trmv
p?atrmv
rank-1 update
p?ger
p?her
p?syr
Hermitian matrix
symmetric matrix
rank-1 update, conjugated
rank-1 update, unconjugated
rank-2 update
p?her2
p?syr2
Hermitian matrix
symmetric matrix
distributed-memory computations
distributed real matrix
p?tran
transposition
distributed symmetric matrix
p?asymv
p?symv
p?syr
p?syr2
matrix-vector product
p?asymv
p?symv
rank-1 update
rank-2 update
distributed triangular matrix
p?trmv
p?atrmv
p?trsv
matrix-vector product
p?trmv
p?atrmv
solving systems of linear equations
distributed vectors
p?asum
p?copy
p?nrm2
p?amax
p?axpy
p?swap
p?scal
adding magnitudes of vector elements
copying
dot product
p?dotu
p?dotc
p?dot
complex vectors
complex vectors, conjugated
real vectors
Euclidean norm
global index of maximum element
linear combination of vectors
sum of vectors
swapping
vector-scalar product
distributed vector-scalar product
Distribution Generators
Distribution Generators Supporting Accurate Mode
divide and conquer algorithm
p?heevd
p?syevd
djacobi
djacobi_delete
djacobi_init
djacobi_solve
djacobix
dlabad
dlabrd
dlacn2
dlacon
dlacpy
dladiv
dlae2
dlaebz
dlaed0
dlaed1
dlaed2
dlaed3
dlaed4
dlaed5
dlaed6
dlaed7
dlaed8
dlaed9
dlaeda
dlaein
dlaev2
dlaexc
dlag2
dlag2s
dlags2
dlagtf
dlagtm
dlagts
dlagv2
dlahqr
dlahr2
dlahrd
dlaic1
dlaisnan
dlaln2
dlals0
dlalsa
dlalsd
dlamc1
dlamc2
dlamc3
dlamc4
dlamc5
dlamch
dlamrg
dlamsh
dlaneg
dlangb
dlange
dlangt
dlanhs
dlansb
dlansf
dlansp
dlanst
dlansy
dlantb
dlantp
dlantr
dlanv2
dlapll
dlapmt
dlapy2
dlapy3
dlaqgb
dlaqge
dlaqp2
dlaqps
dlaqr0
dlaqr1
dlaqr2
dlaqr3
dlaqr4
dlaqr5
dlaqsb
dlaqsp
dlaqsy
dlaqtr
dlar1v
dlar2v
dlaref
dlarf
dlarfb
dlarfg
dlarfp
dlarft
dlarfx
dlargfp
dlargv
dlarnv
dlarra
dlarrb
dlarrc
dlarrd
dlarre
dlarrf
dlarrj
dlarrk
dlarrr
dlarrv
dlartg
dlartv
dlaruv
dlarz
dlarzb
dlarzt
dlas2
dlascl
dlasd0
dlasd1
dlasd2
dlasd3
dlasd4
dlasd5
dlasd6
dlasd7
dlasd8
dlasd9
dlasda
dlasdq
dlasdt
dlaset
dlasorte
dlasq1
dlasq2
dlasq3
dlasq4
dlasq5
dlasq6
dlasr
dlasrt
dlasrt2
dlassq
dlasv2
dlaswp
dlasy2
dlasyf
dlat2s
dlatbs
dlatdf
dlatps
dlatrd
dlatrs
dlatrz
dlauu2
dlauum
dNewAbstractStream
dnrm2
dopgtr
dopmtr
dorg2l
dorg2r
dorgbr
dorghr
dorgl2
dorglq
dorgql
dorgqr
dorgr2
dorgrq
dorgtr
dorm2l
dorm2r
dormbr
dormhr
dorml2
dormlq
dormql
dormqr
dormr2
dormr3
dormrq
dormrz
dormtr
dot
dotc
dotci
doti
dot product
?dotc
?dotu
p?dotc
p?dotu
p?dot
?dot
?sdot
?dotui
?dotci
?doti
complex vectors, conjugated
complex vectors, unconjugated
distributed complex vectors, conjugated
distributed complex vectors, unconjugated
distributed real vectors
real vectors
real vectors (extended precision)
sparse complex vectors
sparse complex vectors, conjugated
sparse real vectors
dotu
dotui
dpbcon
dpbequ
dpbrfs
dpbstf
dpbsv
dpbsvx
dpbtf2
dpbtrf
dpbtrs
dpftrf
dpftri
dpftrs
dpocon
dpoequ
dpoequb
dporfs
dporfsx
dposv
dposvx
dposvxx
dpotf2
dpotrf
dpotri
dpotrs
dppcon
dppequ
dpprfs
dppsv
dppsvx
dpptrf
dpptri
dpptrs
dpstf2
dpstrf
dptcon
dpteqr
dptrfs
dptsv
dptsvx
dpttrf
dpttrs
dpttrsv
dptts2
driver
Routine Naming Conventions
expert
simple
Driver Routines
Driver Routines
Driver Routines
drot
drotg
droti
drotm
drotmg
drscl
dsbev
dsbevd
dsbevx
dsbgst
dsbgv
dsbgvd
dsbgvx
dsbmv
dsbtrd
dscal
dsctr
dsdot
dsecnd
dsfrk
dsgesv
dspcon
dspev
dspevd
dspevx
dspgst
dspgv
dspgvd
dspgvx
dspmv
dsposv
dspr
dspr2
dsprfs
dspsv
dspsvx
dsptrd
dsptrf
dsptri
dsptrs
dss_create
dss_define_structure
dss_delete
dss_factor
dss_factor_complex
dss_factor_real
dss_reorder
dss_solve
dss_solve_complex
dss_solve_real
dss_statistics
dstebz
dstedc
dstegr
dstein
dstein2
dstemr
dsteqr
dsteqr2
dsterf
dstev
dstevd
dstevr
dstevx
dswap
dsycon
dsyequb
dsyev
dsyevd
dsyevr
dsyevx
dsygs2
dsygst
dsygv
dsygvd
dsygvx
dsymm
dsymv
dsyr
dsyr2
dsyr2k
dsyrdb
dsyrfs
dsyrfsx
dsyrk
dsysv
dsysvx
dsysvxx
dsytd2
dsytf2
dsytrd
dsytrf
dsytri
dsytrs
dtbcon
dtbmv
dtbrfs
dtbsv
dtbtrs
dtfsm
dtftri
dtfttp
dtfttr
dtgevc
dtgex2
dtgexc
dtgsen
dtgsja
dtgsna
dtgsy2
dtgsyl
dtpcon
dtpmv
dtprfs
dtpsv
dtptri
dtptrs
dtpttf
dtpttr
dtrbr2d
dtrbs2d
dtrcon
dtrevc
dtrexc
dtrmm
dtrmv
dtrnlsp_delete
dtrnlsp_get
dtrnlsp_init
dtrnlsp_solve
dtrnlspbc_delete
dtrnlspbc_get
dtrnlspbc_init
dtrnlspbc_solve
dtrrfs
dtrrv2d
dtrsd2d
dtrsen
dtrsm
dtrsna
dtrsv
dtrsyl
dtrti2
dtrtri
dtrtrs
dtrttf
dtrttp
dtzrzf
dzasum
dzgemm
dznrm2
dzrot
dzsum1
eigenpairs, sorting
eigenvalue problems
LAPACK Routines: Least Squares and Eigenvalue Problems
generalized form
general matrix
Nonsymmetric Eigenvalue Problems
Nonsymmetric Eigenvalue Problems
Generalized Nonsymmetric Eigenvalue Problems
Hermitian matrix
symmetric matrix
symmetric tridiagonal matrix
?stein2
?steqr2
eigenvalues
Symmetric Eigenvalue Problems
eigenvalue problems
eigenvectors
Symmetric Eigenvalue Problems
eigenvalue problems
elementary reflector
p?larzc
?larz
p?larz
?larfgp
?larfg
p?larfg
complex matrix
general matrix
?larz
p?larz
general rectangular matrix
?larf
?larfx
p?larf
p?larfc
LAPACK
?larf
?larfx
ScaLAPACK
p?larf
p?larfc
LAPACK generation
?larfgp
?larfg
ScaLAPACK generation
ErrorClass
error diagnostics, in VML
error estimation for linear equations
p?trrfs
distributed tridiagonal coefficient matrix
error handling
pxerbla
pxerbla
PBLAS Routines
BLAS and Sparse BLAS Routines
Error Diagnostics
pxerbla
pxerbla
pxerbla
xerbla
PBLAS Routines
BLAS and Sparse BLAS Routines
Error Diagnostics
ErrorMessage
errors in solutions of linear equations
?gbrfsx
p?trrfs
?gerfs
p?gerfs
?gerfsx
?gbrfs
?herfsx
?herfs
?hprfs
?ptrfs
p?porfs
?porfs
?porfsx
?pbrfs
?pprfs
?syrfsx
?syrfs
?sprfs
?trrfs
?tbrfs
?tprfs
?gtrfs
banded matrix
distributed tridiagonal coefficient matrix
general matrix
?gerfs
p?gerfs
?gerfsx
?gbrfs
band storage
Hermitian indefinite matrix
Hermitian matrix
?herfs
?hprfs
packed storage
Hermitian positive-definite matrix
?ptrfs
p?porfs
?porfs
?porfsx
?pbrfs
?pprfs
band storage
packed storage
symmetric indefinite matrix
symmetric matrix
?syrfs
?sprfs
packed storage
symmetric positive-definite matrix
?ptrfs
p?porfs
?porfs
?porfsx
?pbrfs
?pprfs
band storage
packed storage
triangular matrix
?trrfs
?tbrfs
?tprfs
band storage
packed storage
tridiagonal matrix
Euclidean norm
p?nrm2
?nrm2
of a distributed vector
of a vector
expert driver
Exponential
factorization
Routines for Matrix Factorization
Routines for Matrix Factorization
?potf2
?pbtf2
p?potf2
?latrz
Bunch-Kaufman
Routines for Matrix Factorization
Routines for Matrix Factorization
LAPACK
ScaLAPACK
Cholesky
Routines for Matrix Factorization
Routines for Matrix Factorization
?potf2
?pbtf2
p?potf2
LAPACK
Routines for Matrix Factorization
?potf2
?pbtf2
ScaLAPACK
diagonal pivoting
?hesvx
?hetf2
?hpsvx
?sysvx
?sytf2
?spsvx
Hermitian matrix
?hesvx
?hetf2
?hpsvx
complex
packed
symmetric matrix
?sysvx
?sytf2
?spsvx
indefinite
packed
LU
Routines for Matrix Factorization
Routines for Matrix Factorization
LAPACK
ScaLAPACK
orthogonal
Orthogonal Factorizations
Orthogonal Factorizations
LAPACK
ScaLAPACK
partial
?lahef
?lasyf
complex Hermitian indefinite matrix
real/complex symmetric matrix
triangular factorization
triangular factorization[factorization
Routines for Matrix Factorization
aaa]
upper trapezoidal matrix
fast Fourier transform
CommitDescriptor
CommitDescriptorDM
ComputeBackward
ComputeBackwardDM
ComputeForwardDM
CopyDescriptor
CreateDescriptor
CreateDescriptorDM
ErrorClass
ErrorMessage
FreeDescriptor
FreeDescriptorDM
GetValue
GetValueDM
SetValueDM
CommitDescriptor
CommitDescriptorDM
ComputeBackward
ComputeBackwardDM
ComputeForwardDM
CopyDescriptor
CreateDescriptor
CreateDescriptorDM
ErrorClass
ErrorMessage
FreeDescriptor
FreeDescriptorDM
GetValue
GetValueDM
SetValueDM
fast Fourier Transform
ComputeForward
ComputeForward
FFT computation
Cluster FFT Interface
FFT Interface
cluster FFT
FFT
FFT functions
descriptor manipulation
CommitDescriptor
CommitDescriptorDM
CopyDescriptor
CreateDescriptor
CreateDescriptorDM
FreeDescriptor
FreeDescriptorDM
CommitDescriptor
CommitDescriptorDM
CopyDescriptor
CreateDescriptor
CreateDescriptorDM
FreeDescriptor
FreeDescriptorDM
DFT computation
ComputeBackward
ComputeForward
ComputeBackward
ComputeForward
FFT computation
ComputeForwardDM
ComputeForwardDM
status checking
ErrorClass
ErrorMessage
ErrorClass
ErrorMessage
FFT Interface
FFT routines
descriptor configuration
GetValue
GetValueDM
SetValueDM
GetValue
GetValueDM
SetValueDM
FFT computation
ComputeBackwardDM
ComputeBackwardDM
fftw
fftw_create_plan
fftw_create_plan_specific
fftw_destroy_plan
fftw_mpi
fftw_mpi_create_plan
fftw_mpi_destroy_plan
fftw_mpi_local_sizes
fftw_one
fftw2d_create_plan
fftw2d_create_plan_specific
fftw2d_mpi_create_plan
fftw3d_create_plan
fftw3d_create_plan_specific
fftw3d_mpi_create_plan
FFTW interface to Intel(R) MKL
Appendix F: FFTW Interface to Intel® Math Kernel Library
for FFTW2
for FFTW3
fftwnd
fftwnd_create_plan
fftwnd_create_plan_specific
fftwnd_destroy_plan
fftwnd_mpi
fftwnd_mpi_create_plan
fftwnd_mpi_destroy_plan
fftwnd_mpi_local_sizes
fftwnd_one
fill-in, for sparse matrices
finding
i?amax
?combamax1
i?amin
p?max1
element of a vector with the largest absolute value
element of a vector with the largest absolute value of the real part and its global index
element of a vector with the smallest absolute value
indexof the element of a vector with the largest absolute value of the real part
font conventions
Fortran 95 interface conventions
BLAS, Sparse BLAS
Fortran 95 interface conventions
LAPACK
Fortran 95 Interfaces for LAPACK
Interfaces Absent From Netlib
Interfaces Identical to Netlib
Modified Netlib Interfaces
Interfaces of New Functionality
Interfaces with Replaced Argument Names
absent from Netlib
identical to Netlib
modified Netlib interfaces
new functionality
with replaced Netlib argument names
Fortran 95 Interfaces for LAPACK Routines: specific MKL features
Fortran 95 LAPACK interface vs. Netlib
free_Helmholtz_2D
free_Helmholtz_3D
free_sph_np
free_sph_p
free_trig_transform
FreeDescriptor
FreeDescriptorDM
Frobenius norm
?lanhe
p?lansy , p?lanhe
?lanhp
?lanhf
?lanst/?lanht
?lansy
p?lange
?lange
?langt
?lanhb
?lansf
?lansb
?lantr
?lantb
p?lantr
?lantp
?lanhs
p?lanhs
complex Hermitian matrix
?lanhe
p?lansy , p?lanhe
?lanhp
packed storage
complex Hermitian matrix in RFP format
complex Hermitian tridiagonal matrix
complex symmetric matrix
general rectangular matrix
p?lange
?lange
general tridiagonal matrix
Hermitian band matrix
real symmetric matrix
?lansy
p?lansy , p?lanhe
real symmetric matrix in RFP format
real symmetric tridiagonal matrix
symmetric band matrix
symmetric matrix
?lansp
packed storage
trapezoidal matrix
triangular band matrix
triangular matrix
?lantr
p?lantr
?lantp
packedstorage
upper Hessenberg matrix
?lanhs
p?lanhs
full storage scheme
full-storage vectors
function name conventions, in VML
Gamma
gathering sparse vector's elements into compressed form
?gthr
and writing zeros to these elements
Gaussian
GaussianMV
gbcon
gbequ
gbmv
gbrfs
gbsv
gbsvx
gbtrf
gbtrs
gebak
gebal
gebrd
gecon
geequ
gees
geesx
geev
geevx
gehrd
gelqf
gels
gelsd
gelss
gelsy
gem2vc
gem2vu
gemm
gemm3m
gemv
general distributed matrix
p?gemm
scalar-matrix-matrix product
generalized eigenvalue problems
Generalized Symmetric-Definite Eigenvalue Problems
complex Hermitian-definite problem
?sygs2/?hegs2
p?sygs2/p?hegs2
?hegst
?sytd2/?hetd2
p?sytd2/p?hetd2
p?hegst
band storage
packed storage
real symmetric-definite problem
?sygs2/?hegs2
p?sygs2/p?hegs2
?sytd2/?hetd2
p?sygst
p?sytd2/p?hetd2
?sygst
band storage
packed storage
See also LAPACK routines, generalized eigenvalue problems
Generalized LLS Problems
Generalized Nonsymmetric Eigenproblems
generalized Schur factorization
?larnv
?largv
?lar2v
?lagv2
Generalized Singular Value Decomposition
generalized Sylvester equation
Generalized SymmetricDefinite Eigenproblems
general matrix
?larzb
p?larzb
Nonsymmetric Eigenvalue Problems
Nonsymmetric Eigenvalue Problems
Generalized Nonsymmetric Eigenvalue Problems
?larz
p?larz
p?gecon
p?trcon
?gecon
p?pocon
?gbcon
p?gelqf
?gelqf
p?getrf
p?getf2
?getrf
?getf2
?dbtrf
?gbtrf
?dbtf2
p?dbtrf
p?gbtrf
?gbtf2
?gem2vu
?gem2vc
?gemv
?gbmv
?geqrfp
?ggrqf
p?geqrf
?geqrf
?geqp3
?geqpf
p?geqpf
?ger
?gerc
?geru
?labrd
p?gebd2
?gebd2
p?gehd2
?gemm3m
?gemm
p?getrs
?getrs
block reflector
?larzb
p?larzb
eigenvalue problems
Nonsymmetric Eigenvalue Problems
Nonsymmetric Eigenvalue Problems
Generalized Nonsymmetric Eigenvalue Problems
elementary reflector
?larz
p?larz
estimating the condition number
p?gecon
p?trcon
?gecon
p?pocon
?gbcon
band storage
inverting matrix
?getri
p?getri
LAPACK
ScaLAPACK
LQ factorization
p?gelqf
?gelqf
LU factorization
p?getrf
p?getf2
?getrf
?getf2
?dbtrf
?gbtrf
?dbtf2
p?dbtrf
p?gbtrf
?gbtf2
band storage
?dbtrf
?gbtrf
?dbtf2
p?dbtrf
p?gbtrf
?gbtf2
matrix-vector product
?gem2vu
?gem2vc
?gemv
?gbmv
band storage
multiplying by orthogonal matrix
p?orml2/p?unml2
?orml2/?unml2
?orm2r/?unm2r
p?orm2r/p?unm2r
?ormr2/?unmr2
p?ormr2/p?unmr2
?ormr3/?unmr3
from LQ factorization
p?orml2/p?unml2
?orml2/?unml2
from QR factorization
?orm2r/?unm2r
p?orm2r/p?unm2r
from RQ factorization
?ormr2/?unmr2
p?ormr2/p?unmr2
from RZ factorization
multiplying by unitary matrix
p?orml2/p?unml2
?orml2/?unml2
?orm2r/?unm2r
p?orm2r/p?unm2r
?ormr2/?unmr2
p?ormr2/p?unmr2
?ormr3/?unmr3
from LQ factorization
p?orml2/p?unml2
?orml2/?unml2
from QR factorization
?orm2r/?unm2r
p?orm2r/p?unm2r
from RQ factorization
?ormr2/?unmr2
p?ormr2/p?unmr2
from RZ factorization
QL factorization
?geqlf
p?geqlf
LAPACK
ScaLAPACK
QR factorization
?geqrfp
?ggrqf
p?geqrf
?geqrf
?geqp3
?geqpf
p?geqpf
with pivoting
?geqp3
?geqpf
p?geqpf
rank-1 update
rank-1 update, conjugated
rank-1 update, unconjugated
reduction to bidiagonal form
?labrd
p?gebd2
?gebd2
reduction to upper Hessenberg form
RQ factorization
?gerqf
p?ggrqf
LAPACK
ScaLAPACK
scalar-matrix-matrix product
?gemm3m
?gemm
solving systems of linear equations
p?getrs
?getrs
band storage
?gbtrs
p?gbtrs
LAPACK
ScaLAPACK
general rectangular distributed matrix
p?geequ
computing scaling factors
equilibration
general rectangular matrix
?larfx
?larf
p?larfc
p?larf
p?labrd
p?laqge
1-norm value
?lange
p?lange
LAPACK
ScaLAPACK
block reflector
?larfb
p?larfb
LAPACK
ScaLAPACK
elementary reflector
?larfx
?larf
p?larfc
p?larf
LAPACK
?larf
p?larfc
ScaLAPACK
Frobenius norm
?lange
p?lange
LAPACK
ScaLAPACK
infinity- norm
?lange
p?lange
LAPACK
ScaLAPACK
largest absolute value of element
?lange
p?lange
LAPACK
ScaLAPACK
LQ factorization
?gelq2
p?gelq2
LAPACK
ScaLAPACK
multiplication
?lascl
p?lascl
LAPACK
ScaLAPACK
QL factorization
?geql2
p?geql2
LAPACK
ScaLAPACK
QR factorization
?geqr2
?geqr2p
p?geqr2
LAPACK
?geqr2
?geqr2p
ScaLAPACK
reduction of first columns
?lahrd
?lahr2
p?lahrd
LAPACK
?lahrd
?lahr2
ScaLAPACK
reduction to bidiagonal form
row interchanges
?laswp
p?laswp
LAPACK
ScaLAPACK
RQ factorization
?gerq2
p?gerq2
p?gerqf
LAPACK
ScaLAPACK
p?gerq2
p?gerqf
scaling
general square matrix
?gehd2
p?latra
reduction to upper Hessenberg form
trace
general triangular matrix
LU factorization
p?dbtrsv
band storage
general tridiagonal matrix
?langt
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
general tridiagonal triangular matrix
LU factorization
p?dttrsv
band storage
generation methods
Geometric
geqlf
geqp3
geqpf
geqrf
geqrfp
ger
gerc
gerfs
gerqf
geru
gesdd
gesv
gesvd
gesvx
GetBrngProperties
getcpuclocks
getcpufrequency
GetErrorCallBack
GetErrStatus
GetMode
GetNumRegBrngs
getrf
getri
getrs
GetStreamStateBrng
GetValue
GetValueDM
GFSR
ggbak
ggbal
gges
ggesx
ggev
ggevx
ggglm
gghrd
gglse
ggqrf
ggrqf
ggsvd
ggsvp
Givens rotation
?rotmg
?roti
?rotg
modified Givens transformation parameters
of sparse vectors
parameters
global array
Overview
Overview
global index of maximum element of a distributed vector
gsvj0
gsvj1
gtcon
gthr
gthrz
gtrfs
gtsv
gtsvx
gttrf
gttrs
Gumbel
hbev
hbevd
hbevx
hbgst
hbgv
hbgvd
hbgvx
hbmv
hbtrd
hecon
heev
heevd
heevr
heevx
hegst
hegv
hegvd
hegvx
Helmholtz problem
Poisson Library Implemented
three-dimensional
two-dimensional
Helmholtz problem on a sphere
Poisson Library Implemented
non-periodic
periodic
hemm
hemv
her
her2
her2k
herdb
herfs
herk
Hermitian band matrix
?lanhb
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
Hermitian distributed matrix
p?her2k
p?hemm
rank-n update
scalar-matrix-matrix product
Hermitian matrix
Symmetric Eigenvalue Problems
Generalized Symmetric-Definite Eigenvalue Problems
Bunch-Kaufman factorization
?hetrf
packed storage
eigenvalues and eigenvectors
p?heev
p?heevd
p?heevx
estimating the condition number
?hecon
packed storage
generalized eigenvalue problems
inverting the matrix
?hetri
packed storage
matrix-vector product
?hemv
band storage
packed storage
rank-1 update
?her
packed storage
rank-2k update
rank-2 update
?her2
packed storage
rank-k update
reducing to standard form
?sygs2/?hegs2
p?sygs2/p?hegs2
LAPACK
ScaLAPACK
reducing to tridiagonal form
?sytd2/?hetd2
?latrd
p?sytd2/p?hetd2
p?latrd
LAPACK
?sytd2/?hetd2
?latrd
ScaLAPACK
p?sytd2/p?hetd2
p?latrd
scalar-matrix-matrix product
scaling
solving systems of linear equations
?hetrs
packed storage
Hermitian positive-definite band matrix
?pbtf2
Cholesky factorization
Hermitian positive definite distributed matrix
p?poequ
computing scaling factors
equilibration
Hermitian positive-definite distributed matrix
p?potri
inverting the matrix
Hermitian positive-definite matrix
?pftrf
?potf2
?potrf
?pftri
p?potf2
?pftrs
p?potrf
p?pbtrf
?pbtrf
?pptrf
?pocon
?pbcon
?ppcon
?potri
?pptri
?potrs
p?potrs
p?pbtrs
?pbtrs
?pptrs
Cholesky factorization
?pftrf
?potf2
?potrf
?pftri
p?potf2
?pftrs
p?potrf
p?pbtrf
?pbtrf
?pptrf
band storage
p?pbtrf
?pbtrf
packed storage
estimating the condition number
?pocon
?pbcon
?ppcon
band storage
packed storage
inverting the matrix
?pftri
?potri
?pptri
packed storage
solving systemsof linear equations
solving systems of linear equations
?potrs
p?potrs
p?pbtrs
?pbtrs
?pptrs
band storage
p?pbtrs
?pbtrs
packed storage
Hermitian positive-definite tridiagonal matrix
p?pttrs
solving systems of linear equations
Hermitian positive semidefinite matrix
?pstrf
Cholesky factorization
hesv
hesvx
hetrd
hetrf
hetri
hetrs
hfrk
hgeqz
Householder matrix
?larfgp
?larfg
p?larfg
LAPACK
?larfgp
?larfg
ScaLAPACK
Householder reflector
hpcon
hpev
hpevd
hpevx
hpgst
hpgv
hpgvd
hpgvx
hprfs
hpsv
hpsvx
hptrd
hptrf
hptri
hptrs
hsein
hseqr
Hypergeometric
i?amax
i?amin
i?max1
IBM ESSL library
Overview
Convolution and Correlation
icamax
icamin
icmax1
idamax
idamin
IEEE arithmetic
ieeeck
IEEE standard
p?lachkieee
p?lasnbt
implementation
signbit position
igamn2d
igamx2d
igebr2d
igebs2d
igerv2d
igesd2d
igsum2d
ila?lr
ilaclc
ilaclr
iladiag
iladlc
iladlr
ilaenv
ilalc
ilalr
ilaprec
ilaslc
ilaslr
ilatrans
ilauplo
ilaver
ilazlc
ilazlr
ILU0 preconditioner
Incomplete LU Factorization Technique
increment
iNewAbstractStream
infinity-norm
?lanhe
p?lansy , p?lanhe
?lanhp
?lanhf
?lanst/?lanht
?lansy
p?lange
?lange
?langt
?lanhb
?lansf
?lansb
?lantr
?lantb
p?lantr
?lantp
?lanhs
p?lanhs
complex Hermitian matrix
?lanhe
p?lansy , p?lanhe
?lanhp
packed storage
complex Hermitian matrix in RFP format
complex Hermitian tridiagonal matrix
complex symmetric matrix
general rectangular matrix
p?lange
?lange
general tridiagonal matrix
Hermitian band matrix
real symmetric matrix
?lansy
p?lansy , p?lanhe
real symmetric matrix in RFP format
real symmetric tridiagonal matrix
symmetric band matrix
symmetric matrix
?lansp
packed storage
trapezoidal matrix
triangular band matrix
triangular matrix
?lantr
p?lantr
?lantp
packed storage
upper Hessenberg matrix
?lanhs
p?lanhs
Interface Consideration
inverse matrix. inverting a matrix
p?getri
p?trtri
p?potri
inverse matrix. inverting a matrix
inverting a matrix
?hetri
?hptri
?pftri
?potri
?pptri
p?potri
?sytri
?sptri
p?trtri
?tftri
?trtri
?tptri
general matrix
?getri
p?getri
LAPACK
ScaLAPACK
Hermitian matrix
?hetri
?hptri
packed storage
Hermitian positive-definite matrix
?pftri
?potri
?pptri
p?potri
LAPACK
packed storage
ScaLAPACK
symmetric matrix
?sytri
?sptri
packed storage
symmetric positive-definite matrix
?pftri
?potri
?pptri
p?potri
LAPACK
packed storage
ScaLAPACK
triangular distributed matrix
triangular matrix
?tftri
?trtri
?tptri
packed storage
iparmq
isamax
isamin
Iterative Sparse Solvers
Iterative Sparse Solvers based on Reverse Communication Interface (RCI ISS)
itrbr2d
itrbs2d
itrrv2d
itrsd2d
izamax
izamin
izmax1
Jacobi matrix calculation routines
?jacobi
?jacobi_delete
?jacobi_init
?jacobi_solve
?jacobix
Jacobi plane rotations
lanhf
lansf
LAPACK
C Interface Conventions
Routine Naming Conventions
C interface arguments
naming conventions
LAPACK routines
?gsvj0
?gsvj1
?hfrk
?larfp
?sfrk
?lag2
?lags2
?lasq4
?lasdt
ieeeck
lsamen
?lanhe
?lanhp
?lanhf
?lanst/?lanht
?lacrm
?lansy
?laesy
?symv
?syr
?lacgv
?lamc1
?lamc2
?lasq5
?lasq6
ilaenv
iparmq
?larrf
?langb
?laqgb
?lahrd
?lahr2
?lange
?lascl
?larfb
?larf
?larfx
?laqge
?gelq2
?lasr
?geql2
?geqr2
?geqr2p
?laswp
?gerq2
?larrv
?lagts
?larre
?lagtm
?lagtf
?langt
?lanhb
?laqsy
?laqhb
ila?lc
ila?lr
?laic1
?lapll
?lasd7
?lasd2
slag2d
zlag2c
?posv
dlag2s
clag2z
?gesv
?laset
?lamrg
?lapmt
?lartv
?lartg
?largv
?larnv
?lansf
?laebz
?pftrf
?pftrs
?lalsa
?lalsd
?lals0
?bdsdc
?bdsqr
?gbbrd
?gebrd
?orgbr
?ormbr
?ungbr
?unmbr
?lasrt
?lapy3
?lapy2
?lasd8
?lasd5
?lasd3
?lasd4
?lasd9
?labad
?lansb
?laqsb
?lantr
?latrz
?lantp
?latrs
?latps
?lantb
?laruv
?laed0
?lassq
?lanhs
?laein
?lahqr
?gsvj0
?gsvj1
?hfrk
?larfp
?sfrk
2-by-2 generalized eigenvalue problem
2-by-2 Hermitian matrix
?lar2v
plane rotation
2-by-2 orthogonal matrices
2-by-2 real matrix
?lagv2
generalized Schur factorization
2-by-2 real nonsymmetric matrix
?lanv2
Schur factorization
2-by-2 symmetric matrix
?lar2v
plane rotation
2-by-2 triangular matrix
?las2
?lasv2
singular values
SVD
approximation to smallest eigenvalue
auxiliary routines
?gbtf2
?gebd2
?gehd2
?gelq2
?geql2
?geqr2
?geqr2p
?gerq2
?gesc2
?getc2
?getf2
?gtts2
?hetf2
?hfrk
?isnan
?labrd
?lacgv
?lacn2
?lacon
?lacpy
?lacrm
?lacrt
?ladiv
?lae2
?laebz
?laed0
?laed1
?laed2
?laed3
?laed4
?laed5
?laed6
?laed7
?laed8
?laed9
?laeda
?laein
?laesy
?laev2
?laexc
?lag2
?lags2
?lagtf
?lagtm
?lagts
?lagv2
?lahef
?lahqr
?lahr2
?lahrd
?laic1
?laisnan
?laln2
?lals0
?lalsa
?lalsd
?lamrg
?laneg
?langb
?lange
?langt
?lanhb
?lanhe
?lanhf
?lanhp
?lanhs
?lansb
?lansf
?lansp
?lanst/?lanht
?lansy
?lantb
?lantp
?lantr
?lanv2
?lapll
?lapmt
?lapy2
?lapy3
?laqgb
?laqge
?laqhb
?laqp2
?laqps
?laqr0
?laqr1
?laqr2
?laqr3
?laqr4
?laqr5
?laqsb
?laqsp
?laqsy
?laqtr
?lar1v
?lar2v
?larf
?larfb
?larfg
?larfgp
?larfp
?larft
?larfx
?largv
?larnv
?larra
?larrb
?larrc
?larrd
?larre
?larrf
?larrj
?larrk
?larrr
?larrv
?lartg
?lartv
?laruv
?larz
?larzb
?larzt
?las2
?lascl
?lasd0
?lasd1
?lasd2
?lasd3
?lasd4
?lasd5
?lasd6
?lasd7
?lasd8
?lasd9
?lasda
?lasdq
?lasdt
?laset
?lasq1
?lasq2
?lasq3
?lasq4
?lasq5
?lasq6
?lasr
?lasrt
?lassq
?lasv2
?laswp
?lasy2
?lasyf
?latbs
?latdf
?latps
?latrd
?latrs
?latrz
?lauu2
?lauum
?org2l/?ung2l
?org2r/?ung2r
?orgl2/?ungl2
?orgr2/?ungr2
?orm2l/?unm2l
?orm2r/?unm2r
?orml2/?unml2
?ormr2/?unmr2
?ormr3/?unmr3
?pbtf2
?potf2
?pstf2
?ptts2
?rot
?rscl
?sfrk
?spmv
?spr
?sum1
?sygs2/?hegs2
?symv
?syr
?sytd2/?hetd2
?sytf2
?tfttp
?tfttr
?tgex2
?tgsy2
?tpttf
?tpttr
?trti2
?trttf
?trttp
clag2z
dlag2s
dlat2s
i?max1
ila?lc
ila?lr
slag2d
zlag2c
zlat2c
?gbtf2
?gebd2
?gehd2
?gelq2
?geql2
?geqr2
?geqr2p
?gerq2
?gesc2
?getc2
?getf2
?gtts2
?hetf2
?hfrk
?isnan
?labrd
?lacgv
?lacn2
?lacon
?lacpy
?lacrm
?lacrt
?ladiv
?lae2
?laebz
?laed0
?laed1
?laed2
?laed3
?laed4
?laed5
?laed6
?laed7
?laed8
?laed9
?laeda
?laein
?laesy
?laev2
?laexc
?lag2
?lags2
?lagtf
?lagtm
?lagts
?lagv2
?lahef
?lahqr
?lahr2
?lahrd
?laic1
?laisnan
?laln2
?lals0
?lalsa
?lalsd
?lamrg
?laneg
?langb
?lange
?langt
?lanhb
?lanhe
?lanhf
?lanhp
?lanhs
?lansb
?lansf
?lansp
?lanst/?lanht
?lansy
?lantb
?lantp
?lantr
?lanv2
?lapll
?lapmt
?lapy2
?lapy3
?laqgb
?laqge
?laqhb
?laqp2
?laqps
?laqr0
?laqr1
?laqr2
?laqr3
?laqr4
?laqr5
?laqsb
?laqsp
?laqsy
?laqtr
?lar1v
?lar2v
?larf
?larfb
?larfg
?larfgp
?larfp
?larft
?larfx
?largv
?larnv
?larra
?larrb
?larrc
?larrd
?larre
?larrf
?larrj
?larrk
?larrr
?larrv
?lartg
?lartv
?laruv
?larz
?larzb
?larzt
?las2
?lascl
?lasd0
?lasd1
?lasd2
?lasd3
?lasd4
?lasd5
?lasd6
?lasd7
?lasd8
?lasd9
?lasda
?lasdq
?lasdt
?laset
?lasq1
?lasq2
?lasq3
?lasq4
?lasq5
?lasq6
?lasr
?lasrt
?lassq
?lasv2
?laswp
?lasy2
?lasyf
?latbs
?latdf
?latps
?latrd
?latrs
?latrz
?lauu2
?lauum
?org2l/?ung2l
?org2r/?ung2r
?orgl2l/?ungl2
?orgr2/?ungr2
?orm2l/?unm2l
?orm2r/?unm2r
?orml2/?unml2
?ormr2/?unmr2
?ormr3/?unmr3
?pbtf2
?potf2
?pstf2
?ptts2
?rot
?rscl
?sfrk
?spmv
?spr
?sum1
?sygs2/?hegs2
?symv
?syr
?sytd2/?hetd2
?sytf2
?tfttp
?tfttr
?tgex2
?tgsy2
?tpttf
?tpttr
?trti2
?trttf
?trttp
clag2z
dlag2s
dlat2s
i?max1
ila?lc
ila?lr
slag2d
zlag2c
zlat2c
banded matrix equilibration
?gbequ
?gbequb
?gbequ
?gbequb
bidiagonal divide and conquer
block reflector
?larft
?larzt
triangular factor
?larft
?larzt
checking for safe infinity
checking for strings equality
complex Hermitian matrix
?lanhe
?lanhp
packed storage
complex Hermitian matrix in RFP format
complex Hermitian tridiagonal matrix
complex matrix multiplication
complex symmetric matrix
?lansy
?laesy
?symv
?syr
computing eigenvalues and eigenvectors
matrix-vector product
symmetric rank-1 update
complex symmetric packed matrix
?spr
symmetric rank-1 update
complex vector
?sum1
i?max1
?lacrt
?spmv
?rot
1-norm using true absolute value
index of element with max absolute value
linear transformation
matrix-vector product
plane rotation
complex vector conjugation
condition number estimation
?disna
?gbcon
?gecon
?gtcon
?hecon
?hpcon
?pbcon
?pocon
?ppcon
?ptcon
?spcon
?sycon
?tbcon
?tpcon
?trcon
?disna
?gbcon
?gecon
?gtcon
?hecon
?hpcon
?pbcon
?pocon
?ppcon
?ptcon
?spcon
?sycon
?tbcon
?tpcon
?trcon
determining machine parameters
?lamc1
?lamc2
diagonally dominant triangular factorization
?dttrfb
?dttrfb
dqds transform
dqd transform
driver routines
generalized LLS problems
?ggglm
?gglse
?ggglm
?gglse
generalized nonsymmetric eigenproblems
?gges
?ggesx
?ggev
?ggevx
?gges
?ggesx
?ggev
?ggevx
generalized symmetric definite eigenproblems
?hbgv
?hbgvd
?hbgvx
?hegv
?hegvd
?hegvx
?hpgv
?hpgvd
?hpgvx
?sbgv
?sbgvd
?sbgvx
?spgv
?spgvd
?spgvx
?sygv
?sygvd
?sygvx
?hbgv
?hbgvd
?hbgvx
?hegv
?hegvd
?hegvx
?hpgv
?hpgvd
?hpgvx
?sbgv
?sbgvd
?sbgvx
?spgv
?spgvd
?spgvx
?sygv
?sygvd
?sygvx
linear least squares problems
?gels
?gelsd
?gelss
?gelsy
?lals0
?lalsa
?lalsd
?gels
?gelsd
?gelss
?gelsy
?lals0 (auxiliary)
?lalsa (auxiliary)
?lalsd (auxiliary)
nonsymmetric eigenproblems
?gees
?geesx
?geev
?geevx
?gees
?geesx
?geev
?geevx
singular value decomposition
?gejsv
?gelsd
?gesdd
?gesvd
?gesvj
?ggsvd
?gejsv
?gelsd
?gesdd
?gesvd
?gesvj
?ggsvd
solving linear equations
?dtsvb
?gbsv
?gbsvx
?gbsvxx
?gesv
?gesvx
?gesvxx
?gtsv
?gtsvx
?hesv
?hesvx
?hesvxx
?hpsv
?hpsvx
?pbsv
?pbsvx
?posv
?posvx
?posvxx
?ppsv
?ppsvx
?ptsv
?ptsvx
?spsv
?spsvx
?sysv
?sysvx
?sysvxx
?dtsvb
?gbsv
?gbsvx
?gbsvxx
?gesv
?gesvx
?gesvxx
?gtsv
?gtsvx
?hesv
?hesvx
?hesvxx
?hpsv
?hpsvx
?pbsv
?pbsvx
?posv
?posvx
?posvxx
?ppsv
?ppsvx
?ptsv
?ptsvx
?spsv
?spsvx
?sysv
?sysvx
?sysvxx
symmetric eigenproblems
?hbev
?hbevd
?hbevx
?heev
?heevd
?heevr
?heevx
?hpev
?hpevd
?hpevx
?sbev
?sbevd
?sbevx
?spev
?spevd
?spevx
?stev
?stevd
?stevr
?stevx
?syev
?syevd
?syevr
?syevx
?hbev
?hbevd
?hbevx
?heev
?heevd
?heevr
?heevx
?hpev
?hpevd
?hpevx
?sbev
?sbevd
?sbevx
?spev
?spevd
?spevx
?stev
?stevd
?stevr
?stevx
?syev
?syevd
?syevr
?syevx
environmental enquiry
ilaenv
iparmq
finding a relatively isolated eigenvalue
general band matrix
?langb
?laqgb
equilibration
generalized eigenvalue problems
?hbgst
?hegst
?hpgst
?pbstf
?sbgst
?spgst
?sygst
?hbgst
?hegst
?hpgst
?pbstf
?sbgst
?spgst
?sygst
generalized SVD
?ggsvp
?tgsja
?ggsvp
?tgsja
generalized Sylvester equation
?tgsyl
?tgsyl
general matrix
?larzb
?larz
?labrd
?gebd2
block reflector
elementary reflector
reduction to bidiagonal form
?labrd
?gebd2
general matrix equilibration
?geequ
?geequb
?geequ
?geequb
general rectangular matrix
?lahrd
?lahr2
?lange
?lascl
?larfb
?larf
?larfx
?laqge
?gelq2
?lasr
?geql2
?geqr2
?geqr2p
?laswp
?gerq2
block reflector
elementary reflector
?larf
?larfx
equilibration
LQ factorization
plane rotation
QL factorization
QR factorization
?geqr2
?geqr2p
row interchanges
RQ factorization
general square matrix
?gehd2
reduction to upper Hessenberg form
general tridiagonal matrix
?larrv
?lagts
?larre
?lagtm
?lagtf
?langt
Hermitian band matrix
?lanhb
?laqsy
?laqhb
equilibration
?laqsy
?laqhb
Hermitian band matrix in packed storage
?laqsp
equilibration
Hermitian indefinite matrix equilibration
?heequb
?heequb
Hermitian matrix
?laev2
computing eigenvalues and eigenvectors
Hermitian positive-definite matrix equilibration
?poequ
?poequb
?poequ
?poequb
Householder matrix
?larfgp
?larfg
elementary reflector
?larfgp
?larfg
ila?lc
ila?lr
incremental condition estimation
linear dependence of vectors
LQ factorization
?gelq2
?gelqf
?orglq
?ormlq
?unglq
?unmlq
?gelq2
?gelqf
?orglq
?ormlq
?unglq
?unmlq
LU factorization
?gbtf2
general band matrix
matrix equilibration
?laqgb
?laqge
?laqhb
?laqsb
?laqsp
?laqsy
?pbequ
?ppequ
?laqgb
?laqge
?laqhb
?laqsb
?laqsp
?laqsy
?pbequ
?ppequ
matrix inversion
?getri
?hetri
?hptri
?potri
?pptri
?sptri
?sytri
?tptri
?trtri
?getri
?hetri
?hptri
?potri
?pptri
?sptri
?sytri
?tptri
?trtri
matrix-matrix product
?lagtm
?lagtm
merging sets of singular values
?lasd7
?lasd2
mixed precision iterative refinement subroutines
slag2d
zlag2c
?posv
dlag2s
clag2z
?gesv
nonsymmetric eigenvalue problems
?gebak
?gebal
?gehrd
?hsein
?hseqr
?orghr
?ormhr
?trevc
?trexc
?trsen
?trsna
?unghr
?unmhr
?gebak
?gebal
?gehrd
?hsein
?hseqr
?orghr
?ormhr
?trevc
?trexc
?trsen
?trsna
?unghr
?unmhr
off-diagonal and diagonal elements
permutation list creation
permutation of matrix columns
plane rotation
?lasr
?lartv
?lartg
plane rotation vector
QL factorization
?geql2
?geqlf
?orgql
?ormql
?ungql
?unmql
?geql2
?geqlf
?orgql
?ormql
?ungql
?unmql
QR factorization
?geqp3
?geqpf
?geqr2
?geqr2p
?geqrf
?geqrfp
?ggqrf
?ggrqf
?laqp2
?laqps
?orgqr
?ormqr
?ungqr
?unmqr
p?geqrf
?geqp3
?geqpf
?geqr2
?geqr2p
?geqrf
?geqrfp
?ggqrf
?ggrqf
?laqp2
?laqps
?orgqr
?ormqr
?ungqr
?unmqr
p?geqrf
random numbers vector
real lower bidiagonal matrix
?lasdq
SVD
real square bidiagonal matrix
?lasq1
singular values
real symmetricmatrix
real symmetric matrix in RFP format
real symmetric tridiagonal matrix
?lanst/?lanht
?laebz
real upper bidiagonal matrix
?lasd0
?lasda
?lasd1
?lasdq
singular values
SVD
?lasda
?lasd1
?lasdq
real upper quasi-triangular matrix
?laexc
orthogonal similarity transformation
reciprocal condition numbers for eigenvalues and/or eigenvectors
?tgsna
?tgsna
rectangular full packed format
?pftrf
?pftrs
RQ factorization
?gerq2
?gerqf
?orgrq
?ormrq
?ungrq
?unmrq
?geqr2
?gerqf
?orgrq
?ormrq
?ungrq
?unmrq
RZ factorization
?ormrz
?tzrzf
?unmrz
?ormrz
?tzrzf
?unmrz
singular value decomposition
?lalsa
?lalsd
?lals0
?bdsdc
?bdsqr
?gbbrd
?gebrd
?orgbr
?ormbr
?ungbr
?unmbr
?bdsdc
?bdsqr
?gbbrd
?gebrd
?orgbr
?ormbr
?ungbr
?unmbr
solution refinement and error estimation
?gbrfs
?gbrfsx
?gerfs
?gerfsx
?gtrfs
?herfs
?herfsx
?hprfs
?pbrfs
?porfs
?porfsx
?pprfs
?ptrfs
?sprfs
?syrfs
?syrfsx
?tbrfs
?tprfs
?trrfs
?gbrfs
?gbrfsx
?gerfs
?gerfsx
?gtrfs
?herfs
?herfsx
?hprfs
?pbrfs
?porfs
?porfsx
?pprfs
?ptrfs
?sprfs
?syrfs
?syrfsx
?tbrfs
?tprfs
?trrfs
solving linear equations
?dttrsb
?gbtrs
?getrs
?gttrs
?hetrs
?hptrs
?laln2
?laqtr
?pbtrs
?pftrs
?potrs
?pptrs
?pttrs
?sptrs
?sytrs
?tbtrs
?tptrs
?trtrs
?dttrsb
?gbtrs
?getrs
?gttrs
?hetrs
?hptrs
?laln2
?laqtr
?pbtrs
?pftrs
?potrs
?pptrs
?pttrs
?sptrs
?sytrs
?tbtrs
?tptrs
?trtrs
sorting numbers
square root
?lapy3
?lapy2
square roots
?lasd8
?lasd5
?lasd3
?lasd4
?lasd9
?labad
Sylvester equation
?lasy2
?tgsy2
?trsyl
?lasy2
?tgsy2
?trsyl
symmetric band matrix
?lansb
?laqsb
?laqsy
equilibration
?laqsb
?laqsy
symmetric band matrix in packed storage
?laqsp
equilibration
symmetric eigenvalue problems
?disna
?hbtrd
?herdb
?hetrd
?hptrd
?opgtr
?opmtr
?orgtr
?ormtr
?pteqr
?sbtrd
?sptrd
?stebz
?stedc
?stegr
?stein
?stemr
?steqr
?sterf
?syrdb
?sytrd
?ungtr
?unmtr
?upgtr
?upmtr
?disna
?hbtrd
?herdb
?hetrd
?hptrd
?opgtr
?opmtr
?orgtr
?ormtr
?pteqr
?sbtrd
?sptrd
?stebz
?stedc
?stegr
?stein
?stemr
?steqr
?sterf
?syrdb
?sytrd
?ungtr
?unmtr
?upgtr
?upmtr
auxiliary
?lae2
?laebz
?laed0
?laed1
?laed2
?laed3
?laed4
?laed5
?laed6
?laed7
?laed8
?laed9
?laeda
?lae2
?laebz
?laed0
?laed1
?laed2
?laed3
?laed4
?laed5
?laed6
?laed7
?laed8
?laed9
?laeda
symmetric indefinite matrix equilibration
?syequb
?syequb
symmetric matrix
?laev2
?lansp
computing eigenvalues and eigenvectors
packed storage
symmetric positive-definite matrix equilibration
?poequ
?poequb
?poequ
?poequb
symmetric positive-definite tridiagonal matrix
?lasq2
eigenvalues
trapezoidalmatrix
trapezoidal matrix
triangular factorization
?gbtrf
?getrf
?gttrf
?hetrf
?hptrf
?pbtrf
?potrf
?pptrf
?pstrf
?pttrf
?sptrf
?sytrf
p?dbtrf
?gbtrf
?getrf
?gttrf
?hetrf
?hptrf
?pbtrf
?potrf
?pptrf
?pstrf
?pttrf
?sptrf
?sytrf
p?dbtrf
triangular matrix
?lantr
?lantp
packed storage
triangular matrix factorization
?pftrf
?pftri
?tftri
?pftrf
?pftri
?tftri
triangular system of equations
?latrs
?latps
tridiagonal band matrix
uniform distribution
unreduced symmetric tridiagonal matrix
updated upper bidiagonal matrix
?lasd6
SVD
updating sum of squares
upper Hessenberg matrix
?lanhs
?laein
?lahqr
computing a specified eigenvector
eigenvalues
Schur factorization
utility functions and routines
?labad
?lamc1
?lamc2
?lamc3
?lamc4
?lamc5
?lamch
chla_transtype
ieeeck
iladiag
ilaenv
ilaprec
ilatrans
ilauplo
ilaver
iparmq
lsamen
second/dsecnd
xerbla_array
?labad
?lamc1
?lamc2
?lamc3
?lamc4
?lamc5
?lamch
chla_transtype
ieeeck
iladiag
ilaenv
ilaprec
ilatrans
ilauplo
ilaver
iparmq
lsamen
second/dsecnd
xerbla_array
Laplace
Laplace problem
Poisson Library Implemented
three-dimensional
two-dimensional
larfp
largest absolute value of element
?lanhe
p?lansy , p?lanhe
?lanhp
?lanhf
?lanst/?lanht
?lansy
p?lange
?lange
?langt
?lanhb
?lansf
?lansb
?lantr
?lantb
p?lantr
?lantp
?lanhs
p?lanhs
complex Hermitian matrix
?lanhe
p?lansy , p?lanhe
?lanhp
packed storage
complex Hermitian matrix in RFP format
complex Hermitian tridiagonal matrix
complex symmetric matrix
general rectangular matrix
p?lange
?lange
general tridiagonal matrix
Hermitian band matrix
real symmetric matrix
?lansy
p?lansy , p?lanhe
real symmetric matrix in RFP format
real symmetric tridiagonal matrix
symmetric band matrix
symmetric matrix
?lansp
packed storage
trapezoidal matrix
triangular band matrix
triangular matrix
?lantr
p?lantr
?lantp
packed storage
upper Hessenberg matrix
?lanhs
p?lanhs
leading dimension
leapfrog method
LeapfrogStream
least squares problems
length. dimension
library version
Library Version Obtaining
library version string
linear combination of distributed vectors
linear combination of vectors
?axpy
?axpby
Linear Congruential Generator
linear equations,solving
diagonally dominant tridiagonal matrix
?dtsvb
LAPACK
symmetric matrix
?spsv
packed storage
linear equations, solving
?laqtr
?laln2
banded matrix
?gbrfsx
?gbsvxx
extra precise interative refinement
?gbrfsx
?gbsvxx
LAPACK
LAPACK
band matrix
?gbsv
?gbsvx
p?gbsv
LAPACK
?gbsv
?gbsvx
ScaLAPACK
Cholesky-factored matrix
?pbtrs
p?pbtrs
LAPACK
ScaLAPACK
diagonally dominant-like matrix
p?dbtrs
p?dttrs
banded
tridiagonal
diagonally dominant tridiagonal matrix
?dttrsb
LAPACK
general band matrix
p?dbsv
ScaLAPACK
general matrix
p?getrs
?getrs
band storage
?gbtrs
p?gbtrs
extra precise interative refinement
general tridiagonal matrix
p?dtsv
ScaLAPACK
Hermitian indefinite matrix
?herfsx
?hesvxx
extra precise interative refinement
?herfsx
?hesvxx
LAPACK
LAPACK
Hermitian matrix
?hetrs
error bounds
?hpsvx
?hesvx
packed storage
?hpsvx
?hptrs
?hpsv
Hermitian positive-definite matrix
?potrs
?pftrs
p?potrs
band storage
p?pbtrs
?pbtrs
?pbsvx
LAPACK
ScaLAPACK
error bounds
?ppsvx
?pbsvx
LAPACK
ScaLAPACK
extra precise interative refinement
?porfsx
LAPACK
LAPACK
?posvx
?posvxx
linear equations, solving
multiple right-hand sides
?posv
symmetric positive-definite matrix
packed storage
?ppsv
?ppsvx
?pptrs
ScaLAPACK
Hermitian positive-definite tridiagonal linear equations
Hermitian positive-definite tridiagonal matrix
multiple right-hand sides
?dtsvb
?hesv
?hpsv
?ppsv
?posv
?pbsv
?sysv
?spsv
?gtsvx
?gtsv
banded matrix
?gbsvxx
LAPACK
band matrix
?gbsv
?gbsvx
p?gbsv
LAPACK
?gbsv
?gbsvx
ScaLAPACK
diagonally dominant tridiagonal matrix
Hermitian indefinite matrix
?hesvxx
LAPACK
Hermitian matrix
?hesv
?hpsv
Hermitian positive-definite matrix
?ppsv
?posv
?pbsv
band storage
square matrix
?gesvxx
?gesvx
?gesv
p?gesvx
p?gesv
LAPACK
?gesvxx
?gesvx
?gesv
ScaLAPACK
p?gesvx
p?gesv
symmetric/Hermitian positive-definite matrix
?posvxx
LAPACK
symmetric indefinite matrix
?sysvxx
LAPACK
symmetric matrix
?sysv
?spsv
symmetric positive-definite matrix
?ppsv
?pbsv
band storage
tridiagonal matrix
?gtsvx
?gtsv
overestimated or underestimated system
square matrix
?gesvxx
?gesvx
?gesv
p?gesvx
p?gesv
error bounds
?gbsvx
?gesvx
p?gesvx
LAPACK
?gbsvx
?gesvx
ScaLAPACK
extra precise interative refinement
?gesvxx
LAPACK
LAPACK
?gesvxx
?gesvx
?gesv
ScaLAPACK
p?gesvx
p?gesv
symmetric indefinite matrix
?syrfsx
?sysvxx
extra precise interative refinement
?syrfsx
?sysvxx
LAPACK
LAPACK
symmetric matrix
?sytrs
error bounds
?spsvx
?sysvx
packed storage
?spsvx
?sptrs
symmetric positive-definite matrix
?potrs
?pftrs
p?pttrs
p?potrs
band storage
p?pbtrs
?pbtrs
?pbsvx
LAPACK
ScaLAPACK
error bounds
?ppsvx
?pbsvx
LAPACK
ScaLAPACK
extra precise interative refinement
?posvxx
?porfsx
LAPACK
?posvxx
?porfsx
LAPACK
?posvx
?posvxx
?posv
packed storage
?ppsv
?ppsvx
?pptrs
ScaLAPACK
p?posv
p?posvx
symmetric positive-definite tridiagonal linear equations
triangular matrix
p?trtrs
?trtrs
band storage
p?pbtrsv
?tbtrs
packed storage
tridiagonal Hermitian positive-definite matrix
?ptsvx
error bounds
LAPACK
ScaLAPACK
tridiagonal matrix
?gtsvx
?gttrs
?pttrs
?gtsv
?lar1v
?dttrsv
error bounds
LAPACK
?gtsvx
?gttrs
?pttrs
?gtsv
LAPACK auxiliary
ScaLAPACK auxiliary
tridiagonal symmetric positive-definite matrix
?ptsvx
error bounds
LAPACK
ScaLAPACK
Linear Least Squares (LLS) Problems
LoadStreamF
Lognormal
LQ factorization
Orthogonal Factorizations
computing the elements of
?orglq
p?orglq
?unglq
p?unglq
orthogonal matrix Q
real orthogonal matrix Q
unitary matrix Q
?unglq
p?unglq
general rectangular matrix
p?gelq2
?gelq2
lsame
lsamen
lsamen
lsamen
LU factorization
p?getrf
?getrf
band matrix
?gbtrf
p?dbtrf
p?gbtrf
blocked algorithm
unblocked algorithm
diagonally dominant-like tridiagonal matrix
diagonally dominant tridiagonal matrix
general band matrix
general matrix
p?getf2
?getf2
solving linear equations
?gesc2
p?gesvx
?gtts2
?lagts
general matrix
square matrix
tridiagonal matrix
?gtts2
?lagts
triangular band matrix
tridiagonal band matrix
tridiagonal matrix
?gttrf
?dttrf
?lagtf
with complete pivoting
?getc2
?latdf
with partial pivoting
p?getf2
?getf2
machine parameters
?lamch
p?lamch
LAPACK
ScaLAPACK
matrix arguments
column-major ordering
Matrix Arguments
Vector Arguments in BLAS
example
leading dimension
number of columns
number of rows
transposition parameter
matrix block
QR factorization
?laqp2
with pivoting
matrix converters
mkl_?csrbsr
mkl_?csrcoo
mkl_?csrcsc
mkl_?csrdia
mkl_?csrsky
mkl_?dnscsr
mkl_?csrbsr
mkl_?csrcoo
mkl_?csrcsc
mkl_?csrdia
mkl_?csrsky
mkl_?dnscsr
matrix equation
Routines for Solving Systems of Linear Equations
?trsm
Routine Naming Conventions
Computational Routines
?tfsm
Routines for Solving Systems of Linear Equations
AX = B
Routines for Solving Systems of Linear Equations
?trsm
Routine Naming Conventions
Computational Routines
?tfsm
Routines for Solving Systems of Linear Equations
matrix-matrix operation
product
p?gemm
?gemm3m
?gemm
general distributed matrix
general matrix
?gemm3m
?gemm
rank-2k update
p?her2k
?her2k
p?syr2k
?syr2k
Hermitian distributed matrix
Hermitian matrix
symmetric distributed matrix
symmetric matrix
rank-k update
?herk
p?syrk
Hermitian matrix
symmetric distributed matrix
rank-n update
?syrk
symmetric matrix
scalar-matrix-matrix product
p?hemm
?hemm
p?symm
?symm
Hermitian distributed matrix
Hermitian matrix
symmetric distributed matrix
symmetric matrix
matrix-matrix operation:scalar-matrix-matrix product
?trmm
triangular matrix
matrix-matrix operation: scalar-matrix-matrix product
p?trmm
triangular distributed matrix
matrix one-dimensional substructures
matrix-vector operation
?gem2vu
?gbmv
?gem2vc
?gemv
?hemv
?symv
?trmv
?geru
?gerc
?ger
?her
?syr
product
?gem2vu
?gbmv
?gem2vc
?gemv
?hemv
?symv
?trmv
Hermitian matrix
real symmetric matrix
triangular matrix
rank-1 update
?geru
?gerc
?ger
?her
?syr
Hermitian matrix
real symmetric matrix
rank-2 update
?her2
?syr2
Hermitian matrix
symmetric matrix
matrix-vector operation:product
Hermitian matrix
?hbmv
?hpmv
band storage
packed storage
real symmetric matrix
?spmv
packed storage
symmetric matrix
?sbmv
band storage
triangular matrix
?tbmv
?tpmv
band storage
packed storage
matrix-vector operation:rank-1 update
Hermitian matrix
?hpr
packed storage
real symmetric matrix
?spr
packed storage
matrix-vector operation:rank-2 update
Hermitian matrix
?hpr2
packed storage
symmetric matrix
?spr2
packed storage
mkl_?bsrgemv
mkl_?bsrmm
mkl_?bsrmv
mkl_?bsrsm
mkl_?bsrsv
mkl_?bsrsymv
mkl_?bsrtrsv
mkl_?coogemv
mkl_?coomm
mkl_?coomv
mkl_?coosm
mkl_?coosv
mkl_?coosymv
mkl_?cootrsv
mkl_?cscmm
mkl_?cscmv
mkl_?cscsm
mkl_?cscsv
mkl_?csradd
mkl_?csrbsr
mkl_?csrcoo
mkl_?csrcsc
mkl_?csrdia
mkl_?csrgemv
mkl_?csrmm
mkl_?csrmultcsr
mkl_?csrmultd
mkl_?csrmv
mkl_?csrsky
mkl_?csrsm
mkl_?csrsv
mkl_?csrsymv
mkl_?csrtrsv
mkl_?diagemv
mkl_?diamm
mkl_?diamv
mkl_?diasm
mkl_?diasv
mkl_?diasymv
mkl_?diatrsv
mkl_?dnscsr
mkl_?imatcopy
mkl_?omatadd
mkl_?omatcopy
mkl_?omatcopy2
mkl_?skymm
mkl_?skymv
mkl_?skysm
mkl_?skysv
mkl_cbsrgemv
mkl_cbsrmm
mkl_cbsrmv
mkl_cbsrsm
mkl_cbsrsv
mkl_cbsrsymv
mkl_cbsrtrsv
mkl_ccoogemv
mkl_ccoomm
mkl_ccoomv
mkl_ccoosm
mkl_ccoosv
mkl_ccoosymv
mkl_ccootrsv
mkl_ccscmm
mkl_ccscmv
mkl_ccscsm
mkl_ccscsv
mkl_ccsradd
mkl_ccsrbsr
mkl_ccsrcoo
mkl_ccsrcsc
mkl_ccsrdia
mkl_ccsrgemv
mkl_ccsrmm
mkl_ccsrmultcsr
mkl_ccsrmultd
mkl_ccsrmv
mkl_ccsrsky
mkl_ccsrsm
mkl_ccsrsv
mkl_ccsrsymv
mkl_ccsrtrmv
mkl_cdiagemv
mkl_cdiamm
mkl_cdiamv
mkl_cdiasm
mkl_cdiasv
mkl_cdiasymv
mkl_cdiatrsv
mkl_cimatcopy
mkl_comatadd
mkl_comatcopy
mkl_comatcopy2
mkl_cskymm
mkl_cskymv
mkl_cskysm
mkl_cskysv
mkl_cspblas_?bsrgemv
mkl_cspblas_?bsrsymv
mkl_cspblas_?bsrtrsv
mkl_cspblas_?coogemv
mkl_cspblas_?coosymv
mkl_cspblas_?csrgemv
mkl_cspblas_?csrsymv
mkl_cspblas_?csrtrsv
mkl_cspblas_?dcootrsv
mkl_cspblas_cbsrgemv
mkl_cspblas_cbsrsymv
mkl_cspblas_cbsrtrmv
mkl_cspblas_ccoogemv
mkl_cspblas_ccoosymv
mkl_cspblas_ccootrsv
mkl_cspblas_ccsrgemv
mkl_cspblas_ccsrsymv
mkl_cspblas_ccsrtrsv
mkl_cspblas_dbsrgemv
mkl_cspblas_dbsrsymv
mkl_cspblas_dbsrtrmv
mkl_cspblas_dcoogemv
mkl_cspblas_dcoosymv
mkl_cspblas_dcootrsv
mkl_cspblas_dcsrgemv
mkl_cspblas_dcsrsymv
mkl_cspblas_dcsrtrsv
mkl_cspblas_sbsrgemv
mkl_cspblas_sbsrsymv
mkl_cspblas_sbsrtrmv
mkl_cspblas_scoogemv
mkl_cspblas_scoosymv
mkl_cspblas_scootrsv
mkl_cspblas_scsrgemv
mkl_cspblas_scsrsymv
mkl_cspblas_scsrtrsv
mkl_cspblas_zbsrgemv
mkl_cspblas_zbsrsymv
mkl_cspblas_zbsrtrmv
mkl_cspblas_zcoogemv
mkl_cspblas_zcoosymv
mkl_cspblas_zcootrsv
mkl_cspblas_zcsrgemv
mkl_cspblas_zcsrsymv
mkl_cspblas_zcsrtrsv
mkl_cvt_to_null_terminated_str
mkl_dbsrgemv
mkl_dbsrmm
mkl_dbsrmv
mkl_dbsrsm
mkl_dbsrsv
mkl_dbsrsymv
mkl_dbsrtrsv
mkl_dcoogemv
mkl_dcoomm
mkl_dcoomv
mkl_dcoosm
mkl_dcoosv
mkl_dcoosymv
mkl_dcootrsv
mkl_dcscmm
mkl_dcscmv
mkl_dcscsm
mkl_dcscsv
mkl_dcsradd
mkl_dcsrbsr
mkl_dcsrcoo
mkl_dcsrcsc
mkl_dcsrdia
mkl_dcsrgemv
mkl_dcsrmm
mkl_dcsrmultcsr
mkl_dcsrmultd
mkl_dcsrmv
mkl_dcsrsky
mkl_dcsrsm
mkl_dcsrsv
mkl_dcsrsymv
mkl_dcsrtrmv
mkl_ddiagemv
mkl_ddiamm
mkl_ddiamv
mkl_ddiasm
mkl_ddiasv
mkl_ddiasymv
mkl_ddiatrsv
mkl_ddnscsr
mkl_dimatcopy
mkl_domain_get_max_threads
MKL_Domain_Get_Max_Threads
mkl_domain_set_num_threads
MKL_Domain_Set_Num_Threads
mkl_domatadd
mkl_domatcopy
mkl_domatcopy2
mkl_dskymm
mkl_dskymv
mkl_dskysm
mkl_dskysv
mkl_enable_instructions
MKL_Enable_Instructions
mkl_free
usage example
MKL_free
mkl_free_buffers
MKL_Free_Buffers
MKL_FreeBuffers
mkl_get_cpu_clocks
MKL_Get_Cpu_Clocks
mkl_get_cpu_frequency
MKL_Get_Cpu_Frequency
mkl_get_dynamic
MKL_Get_Dynamic
mkl_get_max_threads
MKL_Get_Max_Threads
mkl_get_version
MKL_Get_Version
mkl_get_version_string
mkl_malloc
usage example
MKL_malloc
mkl_mem_stat
usage example
MKL_Mem_Stat
MKL_MemStat
mkl_progress
mkl_sbsrgemv
mkl_sbsrmm
mkl_sbsrmv
mkl_sbsrsm
mkl_sbsrsv
mkl_sbsrsymv
mkl_sbsrtrsv
mkl_scoogemv
mkl_scoomm
mkl_scoomv
mkl_scoosm
mkl_scoosv
mkl_scoosymv
mkl_scootrsv
mkl_scscmm
mkl_scscmv
mkl_scscsm
mkl_scscsv
mkl_scsradd
mkl_scsrbsr
mkl_scsrcoo
mkl_scsrcsc
mkl_scsrdia
mkl_scsrgemv
mkl_scsrmm
mkl_scsrmultcsr
mkl_scsrmultd
mkl_scsrmv
mkl_scsrsky
mkl_scsrsm
mkl_scsrsv
mkl_scsrsymv
mkl_scsrtrmv
mkl_sdiagemv
mkl_sdiamm
mkl_sdiamv
mkl_sdiasm
mkl_sdiasv
mkl_sdiasymv
mkl_sdiatrsv
mkl_set_cpu_frequency
MKL_Set_Cpu_Frequency
mkl_set_dynamic
MKL_Set_Dynamic
mkl_set_interface_layer
mkl_set_num_threads
MKL_Set_Num_Threads
mkl_set_progress
mkl_set_threading_layer
mkl_set_xerbla
mkl_simatcopy
mkl_somatadd
mkl_somatcopy
mkl_somatcopy2
mkl_sskymm
mkl_sskymv
mkl_sskysm
mkl_sskysv
mkl_thread_free_buffers
MKL_Thread_Free_Buffers
mkl_zbsrgemv
mkl_zbsrmm
mkl_zbsrmv
mkl_zbsrsm
mkl_zbsrsv
mkl_zbsrsymv
mkl_zbsrtrsv
mkl_zcoogemv
mkl_zcoomm
mkl_zcoomv
mkl_zcoosm
mkl_zcoosv
mkl_zcoosymv
mkl_zcootrsv
mkl_zcscmm
mkl_zcscmv
mkl_zcscsm
mkl_zcscsv
mkl_zcsradd
mkl_zcsrbsr
mkl_zcsrcoo
mkl_zcsrcsc
mkl_zcsrdia
mkl_zcsrgemv
mkl_zcsrmm
mkl_zcsrmultcsr
mkl_zcsrmultd
mkl_zcsrmv
mkl_zcsrsky
mkl_zcsrsm
mkl_zcsrsv
mkl_zcsrsymv
mkl_zcsrtrmv
mkl_zdiagemv
mkl_zdiamm
mkl_zdiamv
mkl_zdiasm
mkl_zdiasv
mkl_zdiasymv
mkl_zdiatrsv
mkl_zimatcopy
mkl_zomatadd
mkl_zomatcopy
mkl_zomatcopy2
mkl_zskymm
mkl_zskymv
mkl_zskysm
mkl_zskysv
MKLGetVersion
MKLGetVersionString
MPI
Multiplicative CongruentialGenerator
naming conventions
Notational Conventions
BLAS
LAPACK
Routine Naming Conventions
Routine Naming Conventions
Nonlinear Optimization Solvers
PBLAS
Sparse BLAS Level 1
Sparse BLAS Level 2
Sparse BLAS Level 3
VML
negative eigenvalues
NegBinomial
NewStream
NewStreamEx
NewTaskX1D
Nonsymmetric Eigenproblems
nrm2
off-diagonal elements
p?laset
?laset
initialization
LAPACK
ScaLAPACK
one-dimensional FFTs
Storage schemes
storage effects
opgtr
opmtr
orgbr
orghr
orglq
orgql
orgqr
orgrq
orgtr
ormbr
ormhr
ormlq
ormql
ormqr
ormrq
ormrz
ormtr
orthogonal matrix
Nonsymmetric Eigenvalue Problems
Symmetric Eigenvalue Problems
Singular Value Decomposition
Nonsymmetric Eigenvalue Problems
Singular Value Decomposition
Generalized Nonsymmetric Eigenvalue Problems
from LQ factorization
?orgl2/?ungl2
p?orgl2/p?ungl2
LAPACK
ScaLAPACK
from QL factorization
?orm2l/?unm2l
?org2l/?ung2l
p?orm2l/p?unm2l
p?org2l/p?ung2l
LAPACK
?orm2l/?unm2l
?org2l/?ung2l
ScaLAPACK
p?orm2l/p?unm2l
p?org2l/p?ung2l
from QR factorization
?org2r/?ung2r
p?org2r/p?ung2r
LAPACK
ScaLAPACK
from RQ factorization
?orgr2/?ungr2
p?orgr2/p?ungr2
LAPACK
ScaLAPACK
p?agemv
p?ahemv
p?amax
p?asum
p?asymv
p?atrmv
p?axpy
p?copy
p?dbsv
p?dbtrf
p?dbtrs
p?dbtrsv
p?dot
p?dotc
p?dotu
p?dtsv
p?dttrf
p?dttrs
p?dttrsv
p?gbsv
p?gbtrf
p?gbtrs
p?geadd
p?gebd2
p?gebrd
p?gecon
p?geequ
p?gehd2
p?gehrd
p?gelq2
p?gelqf
p?gels
p?gemm
p?gemv
p?geql2
p?geqlf
p?geqpf
p?geqr2
p?geqrf
p?ger
p?gerc
p?gerfs
p?gerq2
p?gerqf
p?geru
p?gesv
p?gesvd
p?gesvx
p?getf2
p?getrf
p?getri
p?getrs
p?ggqrf
p?ggrqf
p?heev
p?heevd
p?heevx
p?hegst
p?hegvx
p?hemm
p?hemv
p?her
p?her2
p?her2k
p?herk
p?hetrd
p?labad
p?labrd
p?lachkieee
p?lacon
p?laconsb
p?lacp2
p?lacp3
p?lacpy
p?laevswp
p?lahqr
p?lahrd
p?laiect
p?lamch
p?lange
p?lanhs
p?lantr
p?lapiv
p?laqge
p?laqsy
p?lared1d
p?lared2d
p?larf
p?larfb
p?larfc
p?larfg
p?larft
p?larz
p?larzb
p?larzt
p?lascl
p?laset
p?lasmsub
p?lasnbt
p?lassq
p?laswp
p?latra
p?latrd
p?latrz
p?lauu2
p?lauum
p?lawil
p?max1
p?nrm2
p?org2l/p?ung2l
p?org2r/p?ung2r
p?orgl2/p?ungl2
p?orglq
p?orgql
p?orgqr
p?orgr2/p?ungr2
p?orgrq
p?orm2l/p?unm2l
p?orm2r/p?unm2r
p?ormbr
p?ormhr
p?orml2/p?unml2
p?ormlq
p?ormql
p?ormqr
p?ormr2/p?unmr2
p?ormrq
p?ormrz
p?ormtr
p?pbsv
p?pbtrf
p?pbtrs
p?pbtrsv
p?pocon
p?poequ
p?porfs
p?posv
p?posvx
p?potf2
p?potrf
p?potri
p?potrs
p?ptsv
p?pttrf
p?pttrs
p?pttrsv
p?rscl
p?scal
p?stebz
p?stein
p?sum1
p?swap
p?syev
p?syevd
p?syevx
p?sygs2/p?hegs2
p?sygst
p?sygvx
p?symm
p?symv
p?syr
p?syr2
p?syr2k
p?syrk
p?sytd2/p?hetd2
p?sytrd
p?tradd
p?tran
p?tranc
p?tranu
p?trcon
p?trmm
p?trmv
p?trrfs
p?trsm
p?trsv
p?trti2
p?trtri
p?trtrs
p?tzrzf
p?unglq
p?ungql
p?ungqr
p?ungrq
p?unmbr
p?unmhr
p?unmlq
p?unmql
p?unmqr
p?unmrq
p?unmrz
p?unmtr
Packed formats
packed storage scheme
parallel direct solver (Pardiso)
parallel direct sparse solver interface
pardiso
pardiso_64
pardiso_getenv, pardiso_setenv
pardiso
pardiso_64
pardiso_getenv
pardiso_setenv
parameters
?rotg
?rotmg
for a Givens rotation
modified Givens transformation
pardiso
pardiso_64
pardiso
pardiso_64
pardiso_getenv
pardiso_setenv
PARDISO* solver
PARDISO parameters
Partial Differential Equations support
Helmholtz problem on a sphere
Poisson problem on a sphere
three-dimensional Helmholtz problem
three-dimensional Laplace problem
three-dimensional Poisson problem
two-dimensional Helmholtz problem
two-dimensional Laplace problem
two-dimensional Poisson problem
pbcon
pbequ
PBLAS Level 1 functions
p?amax
p?asum
p?dot
p?dotc
p?dotu
p?nrm2
p?amax
p?asum
p?dot
p?dotc
p?dotu
p?nrm2
PBLAS Level 1routines
PBLAS Level 1 Routines
p?dotc
PBLAS Level 1 routines
PBLAS Level 1 Routines
p?axpy
p?copy
p?scal
p?swap
p?amax
p?asum
p?axpy
PBLAS Level 1 Routines
p?axpy
p?copy
PBLAS Level 1 Routines
p?copy
p?dot
p?dotu
p?nrm2
p?scal
PBLAS Level 1 Routines
p?scal
p?swap
PBLAS Level 1 Routines
p?swap
PBLAS Level 2 routines
PBLAS Level 2 Routines
p?agemv
p?ahemv
p?asymv
p?atrmv
p?gemv
p?ger
p?gerc
p?geru
p?hemv
p?her
p?her2
p?symv
p?syr
p?syr2
p?trmv
p?trsv
?agemv
?asymv
?gemv
?ger
?gerc
?geru
?hemv
?her
?her2
?symv
?syr
?syr2
?trmv
?trsv
p?agemv
p?ahemv
p?asymv
p?atrmv
p?gemv
p?ger
p?gerc
p?geru
p?hemv
p?her
p?her2
p?symv
p?syr
p?syr2
p?trmv
p?trsv
PBLAS Level 3 routines
p?geadd
PBLAS Level 3 Routines
p?gemm
p?hemm
p?her2k
p?herk
p?symm
p?syr2k
p?syrk
p?tradd
p?tran
p?tranc
p?tranu
p?trmm
p?trsm
p?geadd
p?gemm
PBLAS Level 3 Routines
p?gemm
p?hemm
PBLAS Level 3 Routines
p?hemm
p?her2k
PBLAS Level 3 Routines
p?her2k
p?herk
PBLAS Level 3 Routines
p?herk
p?symm
PBLAS Level 3 Routines
p?symm
p?syr2k
PBLAS Level 3 Routines
p?syr2k
p?syrk
p?syrk
PBLAS Level 3 Routines
p?tradd
p?tran
p?tranc
p?tranu
p?trmm
PBLAS Level 3 Routines
p?trmm
p?trsm
p?trsm
PBLAS Level 3 Routines
PBLAS routines
routine groups
pbrfs
pbstf
pbsv
pbsvx
pbtrf
pbtrs
pcagemv
pcahemv
pcamax
pcatrmv
pcaxpy
pccopy
pcdbsv
pcdbtrf
pcdbtrs
pcdbtrsv
pcdotc
pcdotu
pcdtsv
pcdttrf
pcdttrs
pcdttrsv
pcgbsv
pcgbtrf
pcgbtrs
pcgeadd
pcgebd2
pcgebrd
pcgecon
pcgeequ
pcgehd2
pcgehrd
pcgelq2
pcgelqf
pcgels
pcgemm
pcgemv
pcgeql2
pcgeqlf
pcgeqpf
pcgeqr2
pcgeqrf
pcgerc
pcgerfs
pcgerq2
pcgerqf
pcgeru
pcgesv
pcgesvd
pcgesvx
pcgetf2
pcgetrf
pcgetri
pcgetrs
pcggqrf
pcggrqf
pcheev
pcheevd
pcheevx
pchegs2
pchegst
pchegvx
pchemm
pchemv
pcher
pcher2
pcher2k
pcherk
pchetd2
pchetrd
pclabrd
pclacgv
pclacon
pclacp2
pclacpy
pclaevswp
pclahrd
pclange
pclanhe
pclanhs
pclansy
pclantr
pclapiv
pclaqge
pclaqsy
pclarf
pclarfb
pclarfc
pclarfg
pclarft
pclarz
pclarzb
pclarzc
pclarzt
pclascl
pclaset
pclassq
pclaswp
pclatra
pclatrd
pclatrs
pclatrz
pclauu2
pclauum
pcmax1
pcnrm2
pcpbsv
pcpbtrf
pcpbtrs
pcpbtrsv
pcpocon
pcpoequ
pcporfs
pcposv
pcposvx
pcpotf2
pcpotrf
pcpotri
pcpotrs
pcptsv
pcpttrf
pcpttrs
pcpttrsv
pcscal
pcsrscl
pcsscal
pcstein
pcsum1
pcswap
pcsymm
pcsyr2k
pcsyrk
pctradd
pctranu
pctrcon
pctrmm
pctrmv
pctrrfs
pctrsm
pctrsv
pctrti2
pctrtri
pctrtrs
pctzrzf
pcung2l
pcung2r
pcungl2
pcunglq
pcungql
pcungqr
pcungr2
pcungrq
pcunm2l
pcunm2r
pcunmbr
pcunmhr
pcunml2
pcunmlq
pcunmql
pcunmqr
p?unmqr
p?unmrq
pcunmr2
pcunmrz
pcunmtr
pdagemv
pdamax
pdasum
pdasymv
pdatrmv
pdaxpy
pdcopy
pddbsv
pddbtrf
pddbtrs
pddbtrsv
pddot
pddtsv
pddttrf
pddttrs
pddttrsv
PDE support
pdgbsv
pdgbtrf
pdgbtrs
pdgeadd
pdgebd2
pdgebrd
pdgecon
pdgeequ
pdgehd2
pdgehrd
pdgelq2
pdgelqf
pdgels
pdgemm
pdgemv
pdgeql2
pdgeqlf
pdgeqpf
pdgeqr2
pdgeqrf
pdger
pdgerfs
pdgerq2
pdgerqf
pdgesv
pdgesvd
pdgesvx
pdgetf2
pdgetrf
pdgetri
pdgetrs
pdggqrf
pdggrqf
pdlabad
pdlabrd
pdlachkieee
pdlacon
pdlaconsb
pdlacp2
pdlacp3
pdlacpy
pdlaevswp
pdlahqr
pdlahrd
pdlaiectb
pdlaiectl
pdlamch
pdlange
pdlanhs
pdlansy
pdlantr
pdlapiv
pdlaqge
pdlaqsy
pdlared1d
pdlared2d
pdlarf
pdlarfb
pdlarfg
pdlarft
pdlarz
pdlarzb
pdlarzt
pdlascl
pdlaset
pdlasmsub
pdlasnbt
pdlassq
pdlaswp
pdlatra
pdlatrd
pdlatrs
pdlatrz
pdlauu2
pdlauum
pdlawil
pdnrm2
pdorg2l
pdorg2r
pdorgl2
pdorglq
pdorgql
pdorgqr
pdorgr2
pdorgrq
pdorm2l
pdorm2r
pdormbr
pdormhr
pdorml2
pdormlq
pdormql
pdormqr
pdormr2
pdormrq
pdormrz
pdormtr
pdpbsv
pdpbtrf
pdpbtrs
pdpbtrsv
pdpocon
pdpoequ
pdporfs
pdposv
pdposvx
pdpotf2
pdpotrf
pdpotri
pdpotrs
pdptsv
pdpttrf
pdpttrs
pdpttrsv
pdrscl
pdscal
pdstebz
pdstein
pdswap
pdsyev
pdsyevd
pdsyevx
pdsygs2
pdsygst
pdsygvx
pdsymm
pdsymv
pdsyr
pdsyr2
pdsyr2k
pdsyrk
pdsytd2
pdsytrd
pdtradd
pdtran
pdtranc
pdtrcon
pdtrmm
pdtrmv
pdtrrfs
pdtrsm
pdtrsv
pdtrti2
pdtrtri
pdtrtrs
pdtzrzf
pdzasum
pdznrm2
permutation matrix
picopy
pivoting matrix rows or columns
PL Interface
pocon
poequ
points rotation
?rotm
?rot
in the modified plane
in the plane
Poisson
Poisson Library
Poisson Library Routines
routines
Sequence of Invoking PL Routines
?_commit_Helmholtz_2D
?_commit_Helmholtz_3D
?_commit_sph_np
?_commit_sph_p
?_Helmholtz_2D
?_Helmholtz_3D
?_init_Helmholtz_2D
?_init_Helmholtz_3D
?_init_sph_np
?_init_sph_p
?_sph_np
?_sph_p
free_Helmholtz_2D
free_Helmholtz_3D
free_sph_np
free_sph_p
structure
Poisson problem
Poisson Library Implemented
on a sphere
three-dimensional
two-dimensional
PoissonV
porfs
posv
posvx
potrf
potri
potrs
ppcon
ppequ
pprfs
ppsv
ppsvx
pptrf
pptri
pptrs
preconditioned Jacobi SVD
preconditioners based on incomplete LU factorization
Preconditioners based on Incomplete LU Factorization Technique
dcsrilu0
dcsrilut
Preconditioners Interface Description
process grid
Overview
Overview
product
p?scal
?scal
distributed matrix-vector
p?agemv
p?gemv
general matrix
p?agemv
p?gemv
distributed vector-scalar
matrix-vector
p?ahemv
p?hemv
p?asymv
p?symv
p?trmv
p?atrmv
?gem2vu
?gem2vc
?gemv
?hemv
?symv
?trmv
distributed Hermitian matrix
p?ahemv
p?hemv
distributed symmetric matrix
p?asymv
p?symv
distributed triangular matrix
p?trmv
p?atrmv
general matrix
?gem2vu
?gem2vc
?gemv
Hermitian matrix
real symmetric matrix
triangular matrix
scalar-matrix
p?gemm
?gemm3m
?gemm
p?hemm
?hemm
general distributed matrix
general matrix
?gemm3m
?gemm
Hermitian distributed matrix
Hermitian matrix
scalar-matrix-matrix
p?gemm
?gemm3m
?gemm
p?hemm
?hemm
p?symm
?symm
p?trmm
?trmm
general distributed matrix
general matrix
?gemm3m
?gemm
Hermitian distributed matrix
Hermitian matrix
symmetric distributed matrix
symmetric matrix
triangular distributed matrix
triangular matrix
vector-scalar
product:matrix-vector
general matrix
?gbmv
band storage
Hermitian matrix
?hbmv
?hpmv
band storage
packed storage
real symmetric matrix
?spmv
packed storage
symmetric matrix
?sbmv
band storage
triangular matrix
?tbmv
?tpmv
band storage
packed storage
psagemv
psamax
psasum
psasymv
psatrmv
psaxpy
pscasum
pscnrm2
pscopy
psdbsv
psdbtrf
psdbtrs
psdbtrsv
psdot
psdtsv
psdttrf
psdttrs
psdttrsv
pseudorandom numbers
psgbsv
psgbtrf
psgbtrs
psgeadd
psgebd2
psgebrd
psgecon
psgeequ
psgehd2
psgehrd
psgelq2
psgelqf
psgels
psgemm
psgemv
psgeql2
psgeqlf
psgeqpf
psgeqr2
psgeqrf
psger
psgerfs
psgerq2
psgerqf
psgesv
psgesvd
psgesvx
psgetf2
psgetrf
psgetri
psgetrs
psggqrf
psggrqf
pslabad
pslabrd
pslachkieee
pslacon
pslaconsb
pslacp2
pslacp3
pslacpy
pslaevswp
pslahqr
pslahrd
pslaiect
pslamch
pslange
pslanhs
pslansy
pslantr
pslapiv
pslaqge
pslaqsy
pslared1d
pslared2d
pslarf
pslarfb
pslarfg
pslarft
pslarz
pslarzb
pslarzt
pslascl
pslaset
pslasmsub
pslasnbt
pslassq
pslaswp
pslatra
pslatrd
pslatrs
pslatrz
pslauu2
pslauum
pslawil
psnrm2
psorg2l
psorg2r
psorgl2
psorglq
psorgql
psorgqr
psorgr2
psorgrq
psorm2l
psorm2r
psormbr
psormhr
psorml
psorml2
psormlq
psormqr
psormr2
psormrq
psormrz
psormtr
pspbsv
pspbtrf
pspbtrs
pspbtrsv
pspocon
pspoequ
psporfs
psposv
psposvx
pspotf2
pspotrf
pspotri
pspotrs
psptsv
pspttrf
pspttrs
pspttrsv
psrscl
psscal
psstebz
psstein
psswap
pssyev
pssyevd
pssyevx
pssygs2
pssygst
pssygvx
pssymm
pssymv
pssyr
pssyr2
pssyr2k
pssyrk
pssytd2
pssytrd
pstradd
pstran
pstranc
pstrcon
pstrf
pstrmm
pstrmv
pstrrfs
pstrsm
pstrsv
pstrti2
pstrtri
pstrtrs
pstzrzf
ptcon
pteqr
ptrfs
ptsv
ptsvx
pttrf
pttrs
pxerbla
pxerbla
pxerbla
pzagemv
pzahemv
pzamax
pzatrmv
pzaxpy
pzcopy
pzdbsv
pzdbtrf
pzdbtrs
pzdbtrsv
pzdotc
pzdotu
pzdrscl
pzdscal
pzdtsv
pzdttrf
pzdttrs
pzdttrsv
pzgbsv
pzgbtrf
pzgbtrs
pzgeadd
pzgebd2
pzgebrd
pzgecon
pzgeequ
pzgehd2
pzgehrd
pzgelq2
pzgelqf
pzgels
pzgemm
pzgemv
pzgeql2
pzgeqlf
pzgeqpf
pzgeqr2
pzgeqrf
pzgerc
pzgerfs
pzgerq2
pzgerqf
pzgeru
pzgesv
pzgesvd
pzgesvx
pzgetf2
pzgetrf
pzgetri
pzgetrs
pzggqrf
pzggrqf
pzheev
pzheevd
pzheevx
pzhegs2
pzhegst
pzhegvx
pzhemm
pzhemv
pzher
pzher2
pzher2k
pzherk
pzhetd2
pzhetrd
pzlabrd
pzlacgv
pzlacon
pzlacp2
pzlacpy
pzlaevswp
pzlahrd
pzlange
pzlanhe
pzlanhs
pzlansy
pzlantr
pzlapiv
pzlaqge
pzlaqsy
pzlarf
pzlarfb
pzlarfc
pzlarfg
pzlarft
pzlarz
pzlarzb
pzlarzc
pzlarzt
pzlascl
pzlaset
pzlassq
pzlaswp
pzlatra
pzlatrd
pzlatrs
pzlatrz
pzlauu2
pzlauum
pzmax1
pznrm2
pzpbsv
pzpbtrf
pzpbtrs
pzpbtrsv
pzpocon
pzpoequ
pzporfs
pzposv
pzposvx
pzpotf2
pzpotrf
pzpotri
pzpotrs
pzptsv
pzpttrf
pzpttrs
pzpttrsv
pzscal
pzstein
pzsum1
pzswap
pzsymm
pzsyr2k
pzsyrk
pztradd
pztranu
pztrcon
pztrmm
pztrmv
pztrrfs
pztrsm
pztrsv
pztrti2
pztrtri
pztrtrs
pztzrzf
pzung2l
pzung2r
pzungl2
pzunglq
pzungql
pzungqr
pzungr2
pzungrq
pzunm2l
pzunm2r
pzunmbr
pzunmhr
pzunml2
pzunmlq
pzunmql
pzunmqr
p?unmqr
p?unmrq
pzunmr2
pzunmrz
pzunmtr
QL factorization
computing the elements of
?ungql
p?orgql
?orgql
p?ungql
complex matrix Q
orthogonal matrix Q
real matrix Q
unitary matrix Q
general rectangular matrix
?geql2
p?geql2
LAPACK
ScaLAPACK
multiplying general matrix by
p?ormql
p?unmql
orthogonal matrix Q
unitary matrix Q
QR factorization
Orthogonal Factorizations
computing the elements of
?orgqr
p?orgqr
?ungqr
p?ungqr
orthogonal matrix Q
?orgqr
p?orgqr
unitary matrix Q
?ungqr
p?ungqr
general rectangular matrix
?gerq2
?geqr2
?geqr2p
p?gerq2
p?geqr2
LAPACK
?gerq2
?geqr2
?geqr2p
ScaLAPACK
p?gerq2
p?geqr2
with pivoting
?geqp3
?laqps
?geqpf
?laqp2
ScaLAPACK
quasi-random numbers
quasi-triangular matrix
Nonsymmetric Eigenvalue Problems
Generalized Nonsymmetric Eigenvalue Problems
Nonsymmetric Eigenvalue Problems
LAPACK
Nonsymmetric Eigenvalue Problems
Generalized Nonsymmetric Eigenvalue Problems
ScaLAPACK
quasi-triangular system of equations
random number generators
random stream
random stream descriptor
Random Streams
rank-1 update
p?gerc
?gerc
p?ger
p?her
p?syr
?ger
?her
?hpr
?syr
?spr
p?geru
?geru
conjugated, distributed general matrix
conjugated, general matrix
distributed general matrix
distributed Hermitian matrix
distributed symmetric matrix
general matrix
Hermitian matrix
?her
?hpr
packed storage
real symmetric matrix
?syr
?spr
packed storage
unconjugated, distributed general matrix
unconjugated, general matrix
rank-2k update
p?her2k
?her2k
p?syr2k
?syr2k
Hermitian distributed matrix
Hermitian matrix
symmetric distributed matrix
symmetric matrix
rank-2 update
p?her2
p?syr2
?her2
?hpr2
?syr2
?spr2
distributed Hermitian matrix
distributed symmetric matrix
Hermitian matrix
?her2
?hpr2
packed storage
symmetric matrix
?syr2
?spr2
packed storage
rank-k update
p?herk
?herk
p?syrk
distributed Hermitian matrix
Hermitian matrix
symmetric distributed matrix
rank-n update
?syrk
symmetric matrix
Rayleigh
rbdsqr
RCI CG Interface
RCI CG sparse solver routines
dcg
dcgmrhs
dcg_get
dcgmrhs_get
dcg
dcg
dcgmrhs
dcg_get
dcgmrhs_get
RCI CG sparse solver routines:dcg_check
RCI CG sparse solver routines:dcg_init
RCI CG sparse solver routines:dcgmrhs_check
RCI CG sparse solver routines:dcgmrhs_init
RCI FGMRES Interface
RCI FGMRES sparse solver routines
dfgmres_get
dfgmres_get
RCI FGMRES sparse solver routines:dfgmres_check
RCI FGMRES sparse solver routines:dfgmres_init
RCI GFMRES sparse solver routines
dfgmres
dfgres
RCI ISS
RCI ISS interface
RCI ISS sparse solver routines
Implementation Details
implementation details
real matrix
QR factorization
?laqps
with pivoting
real symmetric matrix
?lansy
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
real symmetric tridiagonal matrix
?lanst/?lanht
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
reducing generalized eigenvalue problems
?sygst
p?sygst
LAPACK
ScaLAPACK
reduction to upper Hessenberg form
p?gehd2
?gehd2
general matrix
general square matrix
refining solutions of linear equations
?gbrfsx
?gbrfs
?gerfs
p?gerfs
?gerfsx
?herfsx
?herfs
?hprfs
?ptrfs
?porfs
?porfsx
?pbrfs
?pprfs
p?porfs
?syrfsx
?syrfs
?gtrfs
banded matrix
band matrix
general matrix
?gerfs
p?gerfs
?gerfsx
Hermitian indefinite matrix
Hermitian matrix
?herfs
?hprfs
packed storage
Hermitian positive-definite matrix
?ptrfs
?porfs
?porfsx
?pbrfs
?pprfs
band storage
packed storage
symmetric/Hermitian positive-definite distributed matrix
symmetric indefinite matrix
symmetricmatrix
?sprfs
packed storage
symmetric matrix
symmetric positive-definite matrix
?ptrfs
?porfs
?porfsx
?pbrfs
?pprfs
band storage
packed storage
tridiagonal matrix
RegisterBrng
registering a basic generator
reordering of matrices
Reverse Communication Interface
rfftw2d_create_plan
rfftw2d_mpi_create_plan
rfftw3d_create_plan
rfftw3d_mpi_create_plan
rfftwnd_complex_to_real
rfftwnd_create_plan
rfftwnd_destroy_plan
rfftwnd_mpi
rfftwnd_mpi_create_plan
rfftwnd_mpi_destroy_plan
rfftwnd_mpi_local_sizes
rfftwnd_one_complex_to_real
rfftwnd_one_real_to_complex
rfftwnd_real_to_complex
rot
rotation
?rotm
?rot
?roti
?rotg
?rotmg
of points in the modified plane
of points in the plane
of sparse vectors
parameters for a Givens rotation
parameters of modified Givens transformation
rotg
roti
rotm
rotmg
routine name conventions
Routine Naming Conventions
Routine Naming Conventions
Routine Naming Conventions
Naming Conventions
Naming Conventions in Sparse BLAS Level 2 and Level 3
BLAS
Nonlinear Optimization Solvers
PBLAS
Sparse BLAS Level 1
Sparse BLAS Level 2
Sparse BLAS Level 3
rpteqr
RQ factorization
computing the elements of
?ungrq
p?orgrq
?orgrq
p?ungrq
complex matrix Q
orthogonal matrix Q
real matrix Q
unitary matrix Q
rstedc
rstegr
rstemr
rsteqr
s_backward_trig_transform
s_commit_Helmholtz_2D
s_commit_Helmholtz_3D
s_commit_sph_np
s_commit_sph_p
s_commit_trig_transform
s_forward_trig_transform
s_Helmholtz_2D
s_Helmholtz_3D
s_init_Helmholtz_2D
s_init_Helmholtz_3D
s_init_sph_np
s_init_sph_p
s_init_trig_transform
s_sph_np
s_sph_p
sasum
SaveStreamF
saxpby
saxpy
saxpyi
sbdsdc
sbdsqr
sbev
sbevd
sbevx
sbgst
sbgv
sbgvd
sbgvx
sbmv
sbtrd
scabs1
scal
ScaLAPACK
ScaLAPACKroutines
triangular factorization
p?dbtrsv
p?dbtrsv
ScaLAPACK routines
p?lared2d
p?lared1d
p?pttrf
p?lacgv
p?lascl
p?larf
p?gelq2
p?geql2
p?geqr2
p?labrd
p?gebd2
p?laswp
p?gerq2
p?latrz
p?latrs
p?lassq
1D array redistribution
p?lared2d
p?lared1d
auxiliary routines
?combamax1
?dbtf2
?dbtrf
?dttrf
?dttrsv
?lamsh
?laref
?lasorte
?lasrt2
?pttrsv
?stein2
?steqr2
p?dbtrsv
p?dttrsv
p?gebd2
p?gehd2
p?gelq2
p?geql2
p?geqr2
p?gerq2
p?getf2
p?labrd
p?lacgv
p?lacon
p?laconsb
p?lacp2
p?lacp3
p?lacpy
p?laevswp
p?lahrd
p?laiect
p?lange
p?lanhs
p?lansy , p?lanhe
p?lantr
p?lapiv
p?laqge
p?laqsy
p?lared1d
p?lared2d
p?larf
p?larfb
p?larfc
p?larfg
p?larft
p?larz
p?larzb
p?larzc
p?larzt
p?lascl
p?laset
p?lasmsub
p?lassq
p?laswp
p?latra
p?latrd
p?latrs
p?latrz
p?lauu2
p?lauum
p?lawil
p?max1
p?org2l/p?ung2l
p?org2r/p?ung2r
p?orgl2/p?ungl2
p?orgr2/p?ungr2
p?orm2l/p?unm2l
p?orm2r/p?unm2r
p?orml2/p?unml2
p?ormr2/p?unmr2
p?pbtrsv
p?potf2
p?pttrsv
p?rscl
p?sum1
p?sygs2/p?hegs2
p?sytd2/p?hetd2
p?trti2
?combamax1
?dbtf2
?dbtrf
?dttrf
?dttrsv
?lamsh
?laref
?lasorte
?lasrt2
?pttrsv
?stein2
?steqr2
p?dbtrsv
p?dttrsv
p?gebd2
p?gehd2
p?gelq2
p?geql2
p?geqr2
p?gerq2
p?getf2
p?labrd
p?lacgv
p?lacon
p?laconsb
p?lacp2
p?lacp3
p?lacpy
p?laevswp
p?lahrd
p?laiect
p?lange
p?lanhs
p?lansy, p?lanhe
p?lantr
p?lapiv
p?laqge
p?laqsy
p?lared1d
p?lared2d
p?larf
p?larfb
p?larfc
p?larfg
p?larft
p?larz
p?larzb
p?larzc
p?larzt
p?lascl
p?laset
p?lasmsub
p?lassq
p?laswp
p?latra
p?latrd
p?latrs
p?latrz
p?lauu2
p?lauum
p?lawil
p?max1
p?org2l/p?ung2l
p?org2r/p?ung2r
p?orgl2/p?ungl2
p?orgr2/p?ungr2
p?orm2l/p?unm2l
p?orm2r/p?unm2r
p?orml2/p?unml2
p?ormr2/p?unmr2
p?pbtrsv
p?potf2
p?pttrsv
p?rscl
p?sum1
p?sygs2/p?hegs2
p?sytd2/p?hetd2
p?trti2
pdlaiectb
pdlaiectl
pslaiect
block reflector
p?larft
p?larzt
triangular factor
p?larft
p?larzt
Cholesky factorization
complex matrix
p?larzc
complex elementary reflector
complex vector
p?sum1
1-norm using true absolute value
complex vector conjugation
condition number estimation
p?gecon
p?pocon
p?trcon
p?gecon
p?pocon
p?trcon
driver routines
p?dbsv
p?dtsv
p?gbsv
p?gels
p?gesv
p?gesvd
p?gesvx
p?heev
p?heevd
p?heevx
p?hegvx
p?pbsv
p?posv
p?posvx
p?ptsv
p?syev
p?syevd
p?syevx
p?sygvx
p?dbsv
p?dtsv
p?gbsv
p?gels
p?gesv
p?gesvd
p?gesvx
p?heev
p?heevd
p?heevx
p?hegvx
p?pbsv
p?posv
p?posvx
p?ptsv
p?syev
p?syevd
p?syevx
p?sygvx
error estimation
p?trrfs
p?trrfs
error handling
pxerbla
pxerbla
pxerbla
pxerbla
pxerbla
generalized eigenvalue problems
p?hegst
p?sygst
p?hegst
p?sygst
general matrix
p?larzb
p?larz
p?getf2
p?gehd2
block reflector
elementary reflector
LU factorization
reduction to upper Hessenberg form
general rectangular matrix
p?lascl
p?larf
p?gelq2
p?geql2
p?geqr2
p?labrd
p?gebd2
p?laswp
p?gerq2
elementary reflector
LQ factorization
QL factorization
QR factorization
reduction to bidiagonal form
reduction to real bidiagonal form
row interchanges
RQ factorization
Householder matrix
p?larfg
elementary reflector
LQ factorization
p?gelq2
p?gelqf
p?orglq
p?ormlq
p?unglq
p?unmlq
p?gelq2
p?gelqf
p?orglq
p?ormlq
p?unglq
p?unmlq
LU factorization
p?dbtrsv
p?dttrf
p?dttrsv
p?getf2
p?dbtrsv
p?dttrf
p?dttrsv
p?getf2
matrix equilibration
p?geequ
p?poequ
p?geequ
p?poequ
matrix inversion
p?getri
p?potri
p?trtri
p?getri
p?potri
p?trtri
nonsymmetric eigenvalue problems
p?gehrd
p?lahqr
p?ormhr
p?unmhr
p?gehrd
p?lahqr
p?ormhr
p?unmhr
QL factorization
p?geqlf
p?ungql
p?geql2
p?orgql
p?ormql
p?unmql
?geqlf
?ungql
p?geql2
p?orgql
p?ormql
p?unmql
QR factorization
p?geqpf
p?geqr2
p?ggqrf
p?orgqr
p?ormqr
p?ungqr
p?unmqr
p?geqpf
p?geqr2
p?ggqrf
p?orgqr
p?ormqr
p?ungqr
p?unmqr
RQ factorization
p?gerq2
p?gerqf
p?ggrqf
p?orgrq
p?ormrq
p?ungrq
p?unmrq
p?gerq2
p?gerqf
p?ggrqf
p?orgrq
p?ormrq
p?ungrq
p?unmrq
RZ factorization
p?ormrz
p?tzrzf
p?unmrz
p?ormrz
p?tzrzf
p?unmrz
singular value decomposition
p?gebrd
p?ormbr
p?unmbr
p?gebrd
p?ormbr
p?unmbr
solution refinement and error estimation
p?gerfs
p?porfs
p?gerfs
p?porfs
solving linear equations
?dttrsv
?pttrsv
p?dbtrs
p?dttrs
p?gbtrs
p?getrs
p?potrs
p?pttrs
p?trtrs
?dttrsv
?pttrsv
p?dbtrs
p?dttrs
p?gbtrs
p?getrs
p?potrs
p?pttrs
p?trtrs
symmetric eigenproblems
p?hetrd
p?ormtr
p?stebz
p?stein
p?sytrd
p?unmtr
p?hetrd
p?ormtr
p?stebz
p?stein
p?sytrd
p?unmtr
symmetriceigenvalue problems
?steqr2
?steqr2
symmetric eigenvalue problems
?stein2
?stein2
trapezoidal matrix
triangular factorization
?dbtrf
?dttrf
p?dttrsv
p?gbtrf
p?getrf
p?pbtrf
p?potrf
p?pttrf
?dbtrf
?dttrf
p?dttrsv
p?gbtrf
p?getrf
p?pbtrf
p?potrf
p?pttrf
triangular system of equations
updating sum of squares
utility functions and routines
p?labad
p?lachkieee
p?lamch
p?lasnbt
pxerbla
pxerbla
p?labad
p?lachkieee
p?lamch
p?lasnbt
pxerbla
pxerbla
pxerbla
scalar-matrix-matrix product
p?hemm
?hemm
general distributed matrix
general matrix
?gemm3m
?gemm
symmetric distributed matrix
symmetric matrix
triangular distributed matrix
triangular matrix
scalar-matrix product
?gemm3m
?gemm
p?gemm
p?hemm
?symm
?hemm
p?symm
scaling
p?laqge
p?laqsy
general rectangular matrix
symmetric/Hermitian matrix
scaling factors
p?geequ
p?poequ
general rectangular distributed matrix
Hermitian positive definite distributed matrix
symmetric positive definite distributed matrix
scasum
scattering compressed sparse vector's elements into full storage form
scgemm
Schur decomposition
?tgexc
?tgsen
Schur factorization
?lanv2
?lagv2
?lahqr
scnrm2
scopy
scrot
scsum1
sctr
sdbtf2
sdbtrf
sdisna
sdot
?sdot
?dot
sdoti
sdsdot
sdtsvb
sdttrf
sdttrfb
sdttrsb
sdttrsv
second
second/dsecnd
Service Functions
Service Routines
setcpufrequency
SetErrorCallBack
SetErrorStatus
SetInternalDecimation
SetMode
SetValue
SetValueDM
sfrk
sgamn2d
sgamx2d
sgbcon
sgbequ
sgbequb
sgbmv
sgbrfs
sgbrfsx
sgbsv
sgbsvx
sgbsvxx
sgbtf2
sgbtrf
sgbtrs
sgebak
sgebal
sgebd2
sgebr2d
sgebrd
sgebs2d
sgecon
sgeequ
sgeequb
sgees
sgeesx
sgeev
sgeevx
sgehd2
sgehrd
sgejsv
sgelq2
sgelqf
sgels
sgelsd
sgelss
sgelsy
sgem2vu
sgemm
sgemv
sgeql2
sgeqlf
sgeqp3
sgeqpf
sgeqr2
sgeqr2p
sgeqrf
sgeqrfp
sger
sgerfs
sgerfsx
sgerq2
sgerqf
sgerv2d
sgesc2
sgesd2d
sgesdd
sgesv
sgesvd
sgesvj
sgesvx
sgesvxx
sgetc2
sgetf2
sgetrf
sgetri
sgetrs
sggbak
sggbal
sgges
sggesx
sggev
sggevx
sggglm
sgghrd
sgglse
sggqrf
sggrqf
sggsvd
sggsvp
sgsum2d
sgsvj0
sgsvj1
sgtcon
sgthr
sgthrz
sgtrfs
sgtsv
sgtsvx
sgttrf
sgttrs
sgtts2
shbgst
shgeqz
shsein
shseqr
simple driver
Single Dynamic Library interface
Functions Supporting the Single Dynamic Library Interface
mkl_set_interface_layer
mkl_set_progress
mkl_set_threading_layer
mkl_set_xerbla
single node matrix
singular value decomposition
?gesvd
LAPACK
LAPACK routines, singular value decomposition
ScaLAPACK
Singular Value Decomposition
p?gesvd
See also LAPACK routines, singular value decomposition
Singular Value Decomposition
sisnan
sjacobi
sjacobi_delete
sjacobi_init
sjacobi_solve
sjacobix
SkipAheadStream
slabad
slabrd
slacn2
slacon
slacpy
sladiv
slae2
slaebz
slaed0
slaed1
slaed2
slaed3
slaed4
slaed5
slaed6
slaed7
slaed8
slaed9
slaeda
slaein
slaev2
slaexc
slag2
slag2d
slags2
slagtf
slagtm
slagts
slagv2
slahqr
slahr2
slahrd
slaic1
slaisnan
slaln2
slals0
slalsa
slalsd
slamc1
slamc2
slamc3
slamc4
slamc5
slamch
slamrg
slamsh
slaneg
slangb
slange
slangt
slanhs
slansb
slansf
slansp
slanst
slansy
slantb
slantp
slantr
slanv2
slapll
slapmt
slapy2
slapy3
slaqgb
slaqge
slaqp2
slaqps
slaqr0
slaqr1
slaqr2
slaqr3
slaqr4
slaqr5
slaqsb
slaqsp
slaqsy
slaqtr
slar1v
slar2v
slaref
slarf
slarfb
slarfg
slarfgp
slarfp
slarft
slarfx
slargv
slarnv
slarra
slarrb
slarrc
slarrd
slarre
slarrf
slarrj
slarrk
slarrr
slarrv
slartg
slartv
slaruv
slarz
slarzb
slarzt
slas2
slascl
slasd0
slasd1
slasd2
slasd3
slasd4
slasd5
slasd6
slasd7
slasd8
slasd9
slasda
slasdq
slasdt
slaset
slasorte
slasq1
slasq2
slasq3
slasq4
slasq5
slasq6
slasr
slasrt
slasrt2
slassq
slasv2
slaswp
slasy2
slasyf
slatbs
slatdf
slatps
slatrd
slatrs
slatrz
slauu2
slauum
smallest absolute value of a vector element
small subdiagonal element
sNewAbstractStream
snrm2
solver
Sparse Linear Systems
direct
iterative
Solver
Sparse Solver Routines
Sparse
solving linear equations
solving linear equations. linear equations
solving linear equations. See linear equations
sopgtr
sopmtr
sorg2l
sorg2r
sorgbr
sorghr
sorgl2
sorglq
sorgql
sorgqr
sorgr2
sorgrq
sorgtr
sorm2l
sorm2r
sormbr
sormhr
sorml2
sormlq
sormql
sormqr
sormr2
sormr3
sormrq
sormrz
sormtr
sorting
?lasorte
eigenpairs
numbers in increasing/decreasing order
?lasrt
?lasrt2
LAPACK
ScaLAPACK
Sparse BLAS Level 1
Sparse BLAS Level 1 Routines
data types
naming conventions
Sparse BLAS Level 1 routines and functions
Naming Conventions
?axpyi
?dotci
?doti
?dotui
?gthr
?gthrz
?roti
?sctr
Sparse BLAS Level 2
Sparse BLAS Level 2 and Level 3 Routines
naming conventions
sparse BLAS Level 2 routines
mkl_?bsrgemv
mkl_?bsrmv
mkl_?bsrsv
mkl_?bsrsymv
mkl_?bsrtrsv
mkl_?coogemv
mkl_?coomv
mkl_?coosv
mkl_?coosymv
mkl_?cootrsv
mkl_?cscmv
mkl_?cscsv
mkl_?csrgemv
mkl_?csrmv
mkl_?csrsv
mkl_?csrsymv
mkl_?csrtrsv
mkl_?diagemv
mkl_?diamv
mkl_?diasv
mkl_?diasymv
mkl_?diatrsv
mkl_?skymv
mkl_?skysv
mkl_cspblas_?bsrgemv
mkl_cspblas_?bsrsymv
mkl_cspblas_?bsrtrsv
mkl_cspblas_?coogemv
mkl_cspblas_?coosymv
mkl_cspblas_?cootrsv
mkl_cspblas_?csrgemv
mkl_cspblas_?csrsymv
mkl_cspblas_?csrtrsv
mkl_?bsrgemv
mkl_?bsrmv
mkl_?bsrsv
mkl_?bsrsymv
mkl_?bsrtrsv
mkl_?coogemv
mkl_?coomv
mkl_?coosv
mkl_?coosymv
mkl_?cootrsv
mkl_?cscmv
mkl_?cscsv
mkl_?csrgemv
mkl_?csrmv
mkl_?csrsv
mkl_?csrsymv
mkl_?csrtrsv
mkl_?diagemv
mkl_?diamv
mkl_?diasv
mkl_?diasymv
mkl_?diatrsv
mkl_?skymv
mkl_?skysv
mkl_cspblas_?bsrgemv
mkl_cspblas_?bsrsymv
mkl_cspblas_?bsrtrsv
mkl_cspblas_?coogemv
mkl_cspblas_?coosymv
mkl_cspblas_?cootrsv
mkl_cspblas_?csrgemv
mkl_cspblas_?csrsymv
mkl_cspblas_?csrtrsv
Sparse BLAS Level 3
Sparse BLAS Level 2 and Level 3 Routines
naming conventions
sparse BLAS Level 3 routines
mkl_?bsrmm
mkl_?bsrsm
mkl_?coomm
mkl_?coosm
mkl_?cscmm
mkl_?cscsm
mkl_?csradd
mkl_?csrmm
mkl_?csrmultcsr
mkl_?csrmultd
mkl_?csrsm
mkl_?diamm
mkl_?diasm
mkl_?skymm
mkl_?skysm
mkl_?bsrmm
mkl_?bsrsm
mkl_?coomm
mkl_?coosm
mkl_?cscmm
mkl_?cscsm
mkl_?csradd
mkl_?csrmm
mkl_?csrmultcsr
mkl_?csrmultd
mkl_?csrsm
mkl_?diamm
mkl_?diasm
mkl_?skymm
mkl_?skysm
sparse BLAS routines
mkl_?csrbsr
mkl_?csrcoo
mkl_?csrcsc
mkl_?csrdia
mkl_?csrsky
mkl_?dnscsr
mkl_?csrbsr
mkl_?csrcoo
mkl_?csrcsc
mkl_?csrdia
mkl_?csrsky
mkl_?dnscsr
sparse matrices
sparse matrix
Sparse Matrix Storage Formats
sparse solver
parallel direct sparse solver interface
pardiso
pardiso_64
pardiso_getenv, pardiso_setenv
pardiso
pardiso_64
pardiso_getenv
pardiso_setenv
Sparse Solver
direct sparse solver interface
dss_create
dss_delete
dss_factor_real , dss_factor_complex
dss_reorder
dss_solve_real , dss_solve_complex
dss_statistics
mkl_cvt_to_null_terminated_str
dss_create
dss_define_structure
dss_define_structure
dss_delete
dss_factor
dss_factor_complex
dss_factor_real
dss_reorder
dss_solve
dss_solve_complex
dss_solve_real
dss_statistics
mkl_cvt_to_null_terminated_str
iterative sparse solver interface
dcg
dcg_check
dcg_get
dcg_init
dcgmrhs
dcgmrhs_check
dcgmrhs_get
dcgmrhs_init
dfgmres
dfgmres_check
dfgmres_get
dfgmres_init
dcg
dcg_check
dcg_get
dcg_init
dcgmrhs
dcgmrhs_check
dcgmrhs_get
dcgmrhs_init
dfgmres
dfgmres_check
dfgmres_get
dfgmres_init
preconditioners based on incomplete LU factorization
dcsrilu0
dcsrilut
dcsrilu0
dcsrilut
Sparse Solvers
Sparse Solver Routines
PARDISO Parameters in Tabular Form
sparse vectors
Sparse BLAS Level 1 Routines
adding and scaling
complex dot product, conjugated
complex dot product, unconjugated
compressed form
converting to compressed form
?gthrz
?gthr
converting to full-storage form
full-storage form
Givens rotation
norm
passed to BLAS level 1 routines
real dot product
scaling
spbcon
spbequ
spbrfs
spbstf
spbsv
spbsvx
spbtf2
spbtrf
spbtrs
spcon
specific hardware support
mkl_enable_instructions
mkl_enable_instructions
spev
spevd
spevx
spftrf
spftri
spftrs
spgst
spgv
spgvd
spgvx
split Cholesky factorization (band matrices)
spmv
spocon
spoequ
spoequb
sporfs
sporfsx
sposv
sposvx
sposvxx
spotf2
spotrf
spotri
spotrs
sppcon
sppequ
spprfs
sppsv
sppsvx
spptrf
spptri
spptrs
spr
spr2
sprfs
spstf2
spstrf
spsv
spsvx
sptcon
spteqr
sptrd
sptrf
sptrfs
sptri
sptrs
sptsv
sptsvx
spttrf
spttrs
spttrsv
sptts2
square matrix
1-norm estimation
?lacn2
?lacon
p?lacon
LAPACK
?lacn2
?lacon
ScaLAPACK
srot
srotg
sroti
srotm
srotmg
srscl
ssbev
ssbevd
ssbevx
ssbgst
ssbgv
ssbgvd
ssbgvx
ssbmv
ssbtrd
sscal
ssctr
ssfrk
sspcon
sspev
sspevd
sspevx
sspgst
sspgv
sspgvd
sspgvx
sspmv
sspr
sspr2
ssprfs
sspsv
sspsvx
ssptrd
ssptrf
ssptri
ssptrs
sstebz
sstedc
sstegr
sstein
sstein2
sstemr
ssteqr
ssteqr2
ssterf
sstev
sstevd
sstevr
sstevx
sswap
ssycon
ssyequb
ssyev
ssyevd
ssyevr
ssyevx
ssygs2
ssygst
ssygv
ssygvd
ssygvx
ssymm
ssymv
ssyr
ssyr2
ssyr2k
ssyrdb
ssyrfs
ssyrfsx
ssyrk
ssysv
ssysvx
ssysvxx
ssytd2
ssytf2
ssytrd
ssytrf
ssytri
ssytrs
status checking
FFT Interface
FFT
stbcon
stbmv
stbrfs
stbsv
stbtrs
stebz
stedc
stegr
stein
stemr
steqr
sterf
stev
stevd
stevr
stevx
stfsm
stftri
stfttp
stfttr
stgevc
stgex2
stgexc
stgsen
stgsja
stgsna
stgsy2
stgsyl
stpcon
stpmv
stprfs
stpsv
stptri
stptrs
stpttf
stpttr
strbr2d
strbs2d
strcon
stream
strevc
strexc
stride. increment
strmm
strmv
strnlsp_delete
strnlsp_get
strnlsp_init
strnlsp_solve
strnlspbc_delete
strnlspbc_get
strnlspbc_init
strnlspbc_solve
strrfs
strrv2d
strsd2d
strsen
strsm
strsna
strsv
strsyl
strti2
strtri
strtrs
strttf
strttp
stzrzf
sum
p?axpy
p?asum
?asum
?axpyi
?axpy
?axpby
of distributed vectors
of magnitudes of elements of a distributed vector
of magnitudes of the vector elements
of sparse vector and full-storage vector
of vectors
?axpy
?axpby
summary statistics
Compute
EditCorParameterization
EditCovCor
EditMissingValues
EditMoments
EditOutliersDetection
EditPartialCovCor
EditPooledCovariance
EditQuantiles
EditRobustCovariance
EditStreamQuantiles
EditTask
NewTask
DeleteTask
vsldsscompute
vsldSSCompute
vsldsseditcorparameterization
vsldSSEditCorParameterization
vsldsseditcovcor
vsldSSEditCovCor
vsldsseditmissingvalues
vsldSSEditMissingValues
vsldsseditmoments
vsldSSEditMoments
vsldsseditoutliersdetection
vsldSSEditOutliersDetection
vsldsseditpartialcovcor
vsldSSEditPartialCovCor
vsldsseditpooledcovariance
vsldSSEditPooledCovariance
vsldsseditquantiles
vsldSSEditQuantiles
vsldsseditrobustcovariance
vsldSSEditRobustCovariance
vsldsseditstreamquantiles
vsldSSEditStreamQuantiles
vsldssedittask
vsldSSEditTask
vsldssnewtask
vsldSSNewTask
vslissedittask
vsliSSEditTask
vslssdeletetask
vslSSDeleteTask
vslssscompute
vslsSSCompute
vslssseditcorparameterization
vslsSSEditCorParameterization
vslssseditcovcor
vslsSSEditCovCor
vslssseditmissingvalues
vslsSSEditMissingValues
vslssseditmoments
vslsSSEditMoments
vslssseditoutliersdetection
vslsSSEditOutliersDetection
vslssseditpartialcovcor
vslsSSEditPartialCovCor
vslssseditpooledcovariance
vslsSSEditPooledCovariance
vslssseditquantiles
vslsSSEditQuantiles
vslssseditrobustcovariance
vslsSSEditRobustCovariance
vslssseditstreamquantiles
vslsSSEditStreamQuantiles
vslsssedittask
vslsSSEditTask
vslsssnewtask
vslsSSNewTask
summary statistics usage examples
sum of squares
updating
?lassq
p?lassq
LAPACK
ScaLAPACK
support functions
mkl_free
mkl_malloc
mkl_mem_stat
mkl_progress
mkl_free
mkl_malloc
mkl_mem_stat
mkl_progress
support routines
mkl_free_buffers
mkl_thread_free_buffers
mkl_progress
mkl_free_buffers
mkl_thread_free_buffers
progress information
SVD (singular value decomposition)
Singular Value Decomposition
Singular Value Decomposition
LAPACK
ScaLAPACK
swap
swapping adjacent diagonal blocks
?tgex2
?laexc
swapping distributed vectors
swapping vectors
sycon
syev
syevd
syevr
syevx
sygst
sygv
sygvd
sygvx
Sylvester's equation
symm
symmetric band matrix
?lansb
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
symmetric distributed matrix
p?syrk
p?syr2k
p?symm
rank-n update
p?syrk
p?syr2k
scalar-matrix-matrix product
Symmetric Eigenproblems
symmetric indefinite matrix
?sytf2
factorization with diagonal pivoting method
symmetric matrix
Symmetric Eigenvalue Problems
Generalized Symmetric-Definite Eigenvalue Problems
Bunch-Kaufman factorization
?sytrf
packed storage
eigenvalues and eigenvectors
p?syev
p?syevd
p?syevx
estimating the condition number
?sycon
?disna
packed storage
generalized eigenvalue problems
inverting the matrix
?sytri
packed storage
matrix-vector product
?symv
?symv
band storage
packed storage
?spmv
?spmv
rank-1 update
?syr
?syr
packed storage
?spr
?spr
rank-2k update
rank-2 update
?syr2
packed storage
rank-n update
reducing to standard form
?sygs2/?hegs2
p?sygs2/p?hegs2
LAPACK
ScaLAPACK
reducing to tridiagonal form
?sytd2/?hetd2
p?sytd2/p?hetd2
LAPACK
ScaLAPACK
scalar-matrix-matrix product
scaling
solving systems of linear equations
?sytrs
packed storage
symmetric matrix in packed form
?lansp
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
symmetric positive-definite band matrix
?pbtf2
Cholesky factorization
symmetric positive definite distributed matrix
p?poequ
computing scaling factors
equilibration
symmetric positive-definite distributed matrix
p?potri
inverting the matrix
symmetric positive-definite matrix
?pftrf
?potrf
?pftri
?pftrs
p?pbtrf
?pbtrf
?potf2
?pptrf
p?potf2
p?potrf
?pocon
?pbcon
?ppcon
?ptcon
?potri
?pptri
p?pbtrs
?pbtrs
?potrs
?pptrs
p?potrs
Cholesky factorization
?pftrf
?potrf
?pftri
?pftrs
p?pbtrf
?pbtrf
?potf2
?pptrf
p?potf2
p?potrf
band storage
p?pbtrf
?pbtrf
LAPACK
packed storage
ScaLAPACK
p?potf2
p?potrf
estimating the condition number
?pocon
?pbcon
?ppcon
?ptcon
band storage
packed storage
tridiagonal matrix
inverting the matrix
?pftri
?potri
?pptri
packed storage
solving systems of linear equations
?pftrs
p?pbtrs
?pbtrs
?potrs
?pptrs
p?potrs
band storage
p?pbtrs
?pbtrs
LAPACK
packed storage
ScaLAPACK
symmetric positive-definite tridiagonal matrix
p?pttrs
solving systems of linear equations
symmetric positive semidefinite matrix
?pstrf
Cholesky factorization
symv
syr
syr2
syr2k
syrdb
syrfs
syrk
system of linear equations
p?trsv
?trsv
?tbsv
?tpsv
with a distributed triangular matrix
with a triangular matrix
?trsv
?tbsv
?tpsv
band storage
packed storage
systems of linear equations
?getrs
?gttrs
?dttrsb
?pttrs
linear equations
systems of linear equationslinear equations
sysv
sysvx
sytrd
sytrf
sytri
sytrs
tbcon
tbmv
tbrfs
tbsv
tbtrs
tfsm
tgevc
tgexc
tgsen
tgsja
tgsna
tgsyl
threading control
mkl_domain_get_max_threads
mkl_domain_set_num_threads
mkl_get_dynamic
mkl_get_max_threads
mkl_set_dynamic
mkl_set_num_threads
mkl_domain_get_max_threads
mkl_domain_set_num_threads
mkl_get_dynamic
mkl_get_max_threads
mkl_set_dynamic
mkl_set_num_threads
Threading Control
timing functions
mkl_get_cpu_clocks
mkl_get_cpu_frequency
mkl_set_cpu_frequency
second/dsecnd
MKL_Get_Cpu_Clocks
mkl_get_cpu_frequency
mkl_set_cpu_frequency
second/dsecnd
tpcon
tpmv
tprfs
tpsv
tptri
tptrs
transposition
p?tranu
p?tranc
p?tran
distributed complex matrix
distributed complex matrix, conjugated
distributed real matrix
Transposition and General Memory Movement Routines
transposition parameter
trapezoidal matrix
?lantr
p?latrz
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
reduction to triangular form
RZ factorization
?tzrzf
p?tzrzf
LAPACK
ScaLAPACK
trcon
trevc
trexc
triangular banded equations
?latbs
p?pbtrsv
LAPACK
ScaLAPACK
triangular band matrix
?lantb
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
triangular distributed matrix
p?trtri
p?trmm
inverting the matrix
scalar-matrix-matrix product
triangular factorization
?dbtrf
?gbtrf
p?dbtrsv
p?dbtrf
p?gbtrf
p?getrf
?getrf
?hetrf
?hptrf
p?potrf
p?pbtrf
?pbtrf
?pptrf
?pttrf
p?pttrf
?pstrf
?sytrf
?sptrf
band matrix
?dbtrf
?gbtrf
p?dbtrsv
p?dbtrf
p?gbtrf
diagonally dominant tridiagonal matrix
?dttrfb
LAPACK
general matrix
p?getrf
?getrf
Hermitian matrix
?hetrf
?hptrf
packed storage
Hermitian positive-definite matrix
p?potrf
p?pbtrf
?pbtrf
?pptrf
?pttrf
p?pttrf
band storage
p?pbtrf
?pbtrf
packed storage
tridiagonal matrix
?pttrf
p?pttrf
Hermitian positive semidefinite matrix
symmetric matrix
?sytrf
?sptrf
packed storage
symmetric positive-definite matrix
p?potrf
p?pbtrf
?pbtrf
?pptrf
?pttrf
p?pttrf
band storage
p?pbtrf
?pbtrf
packed storage
tridiagonal matrix
?pttrf
p?pttrf
symmetric positive semidefinite matrix
tridiagonal matrix
?gttrf
?dttrf
LAPACK
ScaLAPACK
triangular matrix
Nonsymmetric Eigenvalue Problems
Generalized Nonsymmetric Eigenvalue Problems
1-norm value
?lantr
p?lantr
LAPACK
ScaLAPACK
copying
?trttf
?tfttr
?tpttr
?tpttf
?tfttp
?trttp
estimating the condition number
?trcon
band storage
packed storage
Frobenius norm
?lantr
p?lantr
LAPACK
ScaLAPACK
infinity- norm
?lantr
p?lantr
LAPACK
ScaLAPACK
inverting the matrix
?tftri
?trtri
LAPACK
packed storage
ScaLAPACK
largest absolute value of element
?lantr
p?lantr
LAPACK
ScaLAPACK
matrix-vector product
?trmv
band storage
packed storage
product
p?lauum
?lauum
?lauu2
p?lauu2
blocked algorithm
p?lauum
?lauum
LAPACK
?lauu2
?lauum
ScaLAPACK
p?lauum
p?lauu2
unblocked algorithm
ScaLAPACK
scalar-matrix-matrix product
solving systems of linear equations
?trsv
?trtrs
band storage
?tbsv
?tbtrs
packed storage
?tptrs
?tpsv
ScaLAPACK
swapping adjacent diagonal blocks
triangular matrix factorization
?potrf
Hermitian positive-definite matrix
symmetric positive-definite matrix
triangular matrix in packed form
?lantp
1-norm value
Frobenius norm
infinity- norm
largest absolute value of element
triangularsystem of equations
solving with scale factor
p?latrs
ScaLAPACK
triangular system of equations
solving with scale factor
?latrs
LAPACK
tridiagonal matrix
Symmetric Eigenvalue Problems
estimating the condition number
solving systems of linear equations
?gttrs
?pttrs
ScaLAPACK
tridiagonal system of equations
tridiagonal triangular factorization
p?dttrsv
band matrix
tridiagonal triangular system of equations
trigonometric transform
Transforms Implemented
backward cosine
backward sine
backward staggered cosine
backward staggered sine
backward twice staggered cosine
backward twice staggered sine
forward cosine
forward sine
forward staggered cosine
forward staggered sine
forward twice staggered cosine
forward twice staggered sine
Trigonometric Transform interface
Trigonometric Transform Routines
routines
Sequence of Invoking TT Routines
?_backward_trig_transform
?_commit_trig_transform
?_forward_trig_transform
?_init_trig_transform
free_trig_transform
Trigonometric Transforms interface
trmm
trmv
trrfs
TR routines
?trnlsp_delete
?trnlsp_get
?trnlsp_init
?trnlsp_solve
?trnlspbc_delete
?trnlspbc_get
?trnlspbc_init
?trnlspbc_solve
Organization and Implementation
?trnlsp_delete
?trnlsp_get
?trnlsp_init
?trnlsp_solve
?trnlspbc_delete
?trnlspbc_get
?trnlspbc_init
?trnlspbc_solve
nonlinear least squares problem
Nonlinear Least Squares Problem with Linear (Bound) Constraints
Nonlinear Least Squares Problem without Constraints
with linear bound constraints
without constraints
organization and implementation
trsen
trsm
trsna
trsv
trsyl
trtri
trtrs
TT interface
TT routines
two matrices
QR factorization
?ggqrf
p?ggqrf
LAPACK
ScaLAPACK
tzrzf
ungbr
unghr
unglq
ungql
ungqr
ungrq
ungtr
Uniform (continuous)
Uniform (discrete)
UniformBits
unitary matrix
Symmetric Eigenvalue Problems
Nonsymmetric Eigenvalue Problems
Singular Value Decomposition
Generalized Nonsymmetric Eigenvalue Problems
from LQ factorization
?orgl2/?ungl2
p?orgl2/p?ungl2
LAPACK
ScaLAPACK
from QL factorization
?orm2l/?unm2l
?org2l/?ung2l
p?orm2l/p?unm2l
p?org2l/p?ung2l
LAPACK
?orm2l/?unm2l
?org2l/?ung2l
ScaLAPACK
p?orm2l/p?unm2l
p?org2l/p?ung2l
from QR factorization
?org2r/?ung2r
p?org2r/p?ung2r
LAPACK
ScaLAPACK
from RQ factorization
?orgr2/?ungr2
p?orgr2/p?ungr2
LAPACK
ScaLAPACK
ScaLAPACK
Nonsymmetric Eigenvalue Problems
Singular Value Decomposition
unmbr
unmhr
unmlq
unmql
unmqr
unmrq
unmrz
unmtr
Unpack Functions
updating
rank-1
p?ger
p?her
p?syr
?ger
?her
?syr
distributed general matrix
distributed Hermitian matrix
distributed symmetric matrix
general matrix
Hermitian matrix
real symmetric matrix
rank-1, conjugated
p?gerc
?gerc
distributed general matrix
general matrix
rank-1, unconjugated
p?geru
?geru
distributed general matrix
general matrix
rank-2
p?her2
p?syr2
?her2
?syr2
distributed Hermitian matrix
distributed symmetric matrix
Hermitian matrix
symmetric matrix
rank-2k
p?her2k
?her2k
p?syr2k
?syr2k
Hermitian distributed matrix
Hermitian matrix
symmetric distributed matrix
symmetric matrix
rank-k
p?herk
?herk
p?syrk
distributed Hermitian matrix
Hermitian matrix
symmetric distributed matrix
rank-n
?syrk
symmetric matrix
updating:rank-1
Hermitian matrix
?hpr
packed storage
real symmetric matrix
?spr
packed storage
updating:rank-2
Hermitian matrix
?hpr2
packed storage
symmetric matrix
?spr2
packed storage
upgtr
upmtr
upper Hessenberg matrix
Nonsymmetric Eigenvalue Problems
Generalized Nonsymmetric Eigenvalue Problems
1-norm value
?lanhs
p?lanhs
LAPACK
ScaLAPACK
Frobenius norm
?lanhs
p?lanhs
LAPACK
ScaLAPACK
infinity- norm
?lanhs
p?lanhs
LAPACK
ScaLAPACK
largest absolute value of element
?lanhs
p?lanhs
LAPACK
ScaLAPACK
ScaLAPACK
user time
v?Abs
v?Acos
v?Acosh
v?Add
v?Arg
v?Asin
v?Asinh
v?Atan
v?Atan2
v?Atanh
v?Cbrt
v?CdfNorm
v?CdfNormInv
v?Ceil
v?CIS
v?Conj
v?Cos
v?Cosh
v?Div
v?Erf
v?Erfc
v?ErfcInv
v?ErfInv
v?Exp
v?Expm1
v?Floor
v?Hypot
v?Inv
v?InvCbrt
v?InvSqrt
v?LinearFrac
v?Ln
v?Log10
v?Log1p
v?Modf
v?Mul
v?MulByConj
v?NearbyInt
v?Pack
v?Pow
v?Pow2o3
v?Pow3o2
v?Powx
v?Rint
v?Round
v?Sin
v?SinCos
v?Sinh
v?Sqr
v?Sqrt
v?Sub
v?Tan
v?Tanh
v?Trunc
v?Unpack
vcAbs
vcAcos
vcAcosh
vcAdd
vcArg
vcAsin
vcAsinh
vcAtan
vcAtanh
vcCIS
vcConj
vcCos
vcCosh
vcDiv
vcExp
vcLinearFrac
vcLn
vcLog10
vcMul
vcMulByConj
vcPow
vcPowx
vcSin
vcSinh
vcSqrt
vcSub
vcTan
vcTanh
vdAbs
vdAcos
vdAcosh
vdAdd
vdAsin
vdAsinh
vdAtan
vdAtan2
vdAtanh
vdCbrt
vdCdfNorm
vdCdfNormInv
vdCeil
vdCos
vdCosh
vdDiv
vdErf
vdErfc
vdErfcInv
vdErfInv
vdExp
vdExpm1
vdFloor
vdHypot
vdInv
vdInvCbrt
vdInvSqrt
vdLinearFrac
vdLn
vdLog10
vdLog1p
vdModf
vdMul
vdNearbyInt
vdPackI
vdPackM
vdPackV
vdPow
vdPow2o3
vdPow3o2
vdPowx
vdRint
vdRngBeta
vdRngCauchy
vdRngExponential
vdRngGamma
vdRngGaussian
vdRngGaussianMV
vdRngGumbel
vdRngLaplace
vdRngLognormal
vdRngRayleigh
vdRngUniform
vdRngWeibull
vdRound
vdSin
vdSinCos
vdSinh
vdSqr
vdSqrt
vdSub
vdTan
vdTanh
vdTrunc
vdUnpackI
vdUnpackM
vdUnpackV
vector arguments
Vector Arguments in BLAS
array dimension
default
examples
increment
length
matrix one-dimensional substructures
sparse vector
vector conjugation
?lacgv
p?lacgv
vector indexing
vector mathematical functions
VML Mathematical Functions
absolute value
addition
argument
complementary error function value
complex exponent of real vector elements
computing a rounded integer value and raising inexact result exception
computing a rounded integer value in current rounding mode
computing a truncated integer value
conjugation
cosine
cube root
cumulative normal distribution function value
denary logarithm
division
error function value
exponential
exponential of elements decreased by 1
four-quadrant arctangent
hyperbolic cosine
hyperbolic sine
hyperbolic tangent
inverse complementary error function value
inverse cosine
inverse cube root
inverse cumulative normal distribution function value
inverse error function value
inverse hyperbolic cosine
inverse hyperbolic sine
inverse hyperbolic tangent
inverse sine
inverse square root
inverse tangent
inversion
linear fraction transformation
multiplication
multiplication of conjugated vector element
natural logarithm
natural logarithm of vector elements increased by 1
power
power (constant)
power 2/3
power 3/2
rounding to nearest integer value
rounding towards minus infinity
rounding towards plus infinity
rounding towards zero
sine
sine and cosine
square root
square root of sum of squares
squaring
subtraction
tangent
Vector Mathematical Functions
vector multiplication
?rscl
p?rscl
LAPACK
ScaLAPACK
vector pack function
vectors
?asum
?copy
i?amax
?combamax1
i?amin
?nrm2
?rotg
?axpy
?axpby
?rotmg
?rot
?rotm
Naming Conventions
?swap
?scal
adding magnitudes of vector elements
copying
dot product
?dotu
?dotc
?dot
complex vectors
complex vectors, conjugated
real vectors
element with the largest absolute value
element with the largest absolute value of real part and its index
element with the smallest absolute value
Euclidean norm
Givens rotation
linear combination of vectors
?axpy
?axpby
modified Givens transformation parameters
rotation of points
rotation of points in the modified plane
sparse vectors
sum of vectors
?axpy
?axpby
swapping
vector-scalar product
vector-scalar product
?scal
sparse vectors
vector statistics functions
Bernoulli
Beta
Binomial
Cauchy
CopyStream
CopyStreamState
DeleteStream
dNewAbstractStream
Exponential
Gamma
Gaussian
GaussianMV
Geometric
GetBrngProperties
GetNumRegBrngs
GetStreamStateBrng
Gumbel
Hypergeometric
iNewAbstractStream
Laplace
LeapfrogStream
LoadStreamF
Lognormal
NegBinomial
NewStream
NewStreamEx
Poisson
PoissonV
Rayleigh
RegisterBrng
SaveStreamF
SkipAheadStream
sNewAbstractStream
Uniform
Uniform
UniformBits
Weibull
Bernoulli
Beta
Binomial
Cauchy
CopyStream
CopyStreamState
DeleteStream
dNewAbstractStream
Exponential
Gamma
Gaussian
GaussianMV
Geometric
GetBrngProperties
GetNumRegBrngs
GetStreamStateBrng
Gumbel
Hypergeometric
iNewAbstractStream
Laplace
LeapfrogStream
LoadStreamF
Lognormal
NegBinomial
NewStream
NewStreamEx
Poisson
PoissonV
Rayleigh
RegisterBrng
SaveStreamF
SkipAheadStream
sNewAbstractStream
Uniform (continuous)
Uniform (discrete)
UniformBits
Weibull
vector unpack function
viRngBernoulli
viRngBinomial
viRngGeometric
viRngHypergeometric
viRngNegbinomial
viRngPoisson
viRngPoissonv
viRngUniform
viRngUniformBits
vmcAbs
vmcAcos
vmcAcosh
vmcArg
vmcAsin
vmcAsinh
vmcAtan
vmcAtanh
vmcCIS
vmcCos
vmcCosh
vmcDiv
vmcExp
vmcLn
vmcLog10
vmcMul
vmcMulByConj
vmcPow
vmcPowx
vmcSin
vmcSinh
vmcSqrt
vmcTan
vmcTanh
vmdAcos
vmdAcosh
vmdAsin
vmdAsinh
vmdAtan
vmdAtan2
vmdAtanh
vmdCbrt
vmdCdfNorm
vmdCdfNormInv
vmdCos
vmdCosh
vmdDiv
vmdErf
vmdErfc
vmdErfcInv
vmdErfInv
vmdExp
vmdExpm1
vmdHypot
vmdInv
vmdInvCbrt
vmdInvSqrt
vmdLn
vmdLog10
vmdLog1p
vmdPow
vmdPow2o3
vmdPow3o2
vmdPowx
vmdSin
vmdSinCos
vmdSinh
vmdSqrt
vmdTan
vmdTanh
vml
Function Interfaces
Input Parameters
Output Parameters
Functions Interface
Input Parameters
Output Parameters
VML
VML arithmetic functions
vmlClearErrorCallBack
vmlClearErrStatus
VML exponential and logarithmic functions
VML functions
mathematical functions
v?Abs
v?Acos
v?Acosh
v?Add
v?Arg
v?Asin
v?Asinh
v?Atan
v?Atan2
v?Atanh
v?Cbrt
v?CdfNorm
v?CdfNormInv
v?Ceil
v?CIS
v?Conj
v?Cos
v?Cosh
v?Div
v?Erf
v?Erfc
v?ErfcInv
v?ErfInv
v?Exp
v?Expm1
v?Floor
v?Hypot
v?Inv
v?InvCbrt
v?InvSqrt
v?LinearFrac
v?Ln
v?Log10
v?Log1p
v?Modf
v?Mul
v?MulByConj
v?NearbyInt
v?Pow
v?Pow2o3
v?Pow3o2
v?Powx
v?Rint
v?Round
v?Sin
v?SinCos
v?Sinh
v?Sqr
v?Sqrt
v?Sub
v?Tan
v?Tanh
v?Trunc
v?Abs
v?Acos
v?Acosh
v?Add
v?Arg
v?Asin
v?Asinh
v?Atan
v?Atan2
v?Atanh
v?Cbrt
v?CdfNorm
v?CdfNormInv
v?Ceil
v?CIS
v?Conj
v?Cos
v?Cosh
v?Div
v?Erf
v?Erfc
v?ErfcInv
v?ErfInv
v?Exp
v?Expm1
v?Floor
v?Hypot
v?Inv
v?InvCbrt
v?InvSqrt
v?LinearFrac
v?Ln
v?Log10
v?Log1p
v?Modf
v?Mul
v?MulByConj
v?NearbyInt
v?Pow
v?Pow2o3
v?Pow3o2
v?Powx
v?Rint
v?Round
v?Sin
v?SinCos
v?Sinh
v?Sqr
v?Sqrt
v?Sub
v?Tan
v?Tanh
v?Trunc
pack/unpack functions
v?Pack
v?Unpack
v?Pack
v?Unpack
service functions
ClearErrorCallBack
ClearErrStatus
GetErrorCallBack
GetErrStatus
GetMode
SetErrorCallBack
SetErrStatus
SetMode
ClearErrorCallBack
ClearErrStatus
GetErrorCallBack
GetErrStatus
GetMode
SetErrorCallBack
SetErrStatus
SetMode
vmlGetErrorCallBack
vmlGetErrStatus
vmlGetMode
VML hyperbolic functions
VML mathematical functions
Arithmetic Functions
Exponential and Logarithmic Functions
Hyperbolic Functions
Power and Root Functions
Rounding Functions
Special Functions
Special Value Notations
Trigonometric Functions
arithmetic
exponential and logarithmic
hyperbolic
power and root
rounding
special
special value notations
trigonometric
VML Mathematical Functions
VML Pack/Unpack Functions
VML Pack Functions
VML power and root functions
VML rounding functions
VML Service Functions
vmlSetErrorCallBack
vmlSetErrStatus
vmlSetMode
VML special functions
VML trigonometric functions
vmsAcos
vmsAcosh
vmsAsin
vmsAsinh
vmsAtan
vmsAtan2
vmsAtanh
vmsCbrt
vmsCdfNorm
vmsCdfNormInv
vmsCos
vmsCosh
vmsDiv
vmsErf
vmsErfc
vmsErfcInv
vmsErfInv
vmsExp
vmsExpm1
vmsHypot
vmsInv
vmsInvCbrt
vmsInvSqrt
vmsLn
vmsLog10
vmsLog1p
vmsPow
vmsPow2o3
vmsPow3o2
vmsPowx
vmsSin
vmsSinCos
vmsSinh
vmsSqrt
vmsTan
vmsTanh
vmzAbs
vmzAcos
vmzAcosh
vmzArg
vmzAsin
vmzAsinh
vmzAtan
vmzAtanh
vmzCIS
vmzCos
vmzCosh
vmzDiv
vmzExp
vmzLn
vmzLog10
vmzMul
vmzMulByConj
vmzPow
vmzPowx
vmzSin
vmzSinh
vmzSqrt
vmzTan
vmzTanh
vsAbs
vsAcos
vsAcosh
vsAdd
vsAsin
vsAsinh
vsAtan
vsAtan2
vsAtanh
vsCbrt
vsCdfNorm
vsCdfNormInv
vsCeil
vsCos
vsCosh
vsDiv
vsErf
vsErfc
vsErfcInv
vsErfInv
vsExp
vsExpm1
vsFloor
vsHypot
vsInv
vsInvCbrt
vsInvSqrt
vslConvCopyTask
vslConvDeleteTask
vslConvSetDecimation
vslConvSetInternalPrecision
vslConvSetMode
vslConvSetStart
vslCopyStream
vslCopyStreamState
vslCorrCopyTask
vslCorrDeleteTask
vslCorrSeDecimation
vslCorrSetInternalPrecision
vslCorrSetMode
vslCorrSetStart
vsldConvExec
vsldConvExec1D
vsldConvExecX
vsldConvExecX1D
vsldConvNewTask
vsldConvNewTask1D
vsldConvNewTaskX
vsldConvNewTaskX1D
vsldCorrExec
vsldCorrExec1D
vsldCorrExecX
vsldCorrExecX1D
vsldCorrNewTask
vsldCorrNewTask1D
vsldCorrNewTaskX
vsldCorrNewTaskX1D
vslDeleteStream
vsldNewAbstractStream
vsldsscompute
vsldSSCompute
vsldsseditcorparameterization
vsldSSEditCorParameterization
vsldsseditcovcor
vsldSSEditCovCor
vsldsseditmissingvalues
vsldSSEditMissingValues
vsldsseditmoments
vsldSSEditMoments
vsldsseditoutliersdetection
vsldSSEditOutliersDetection
vsldsseditpartialcovcor
vsldSSEditPartialCovCor
vsldsseditpooledcovariance
vsldSSEditPooledCovariance
vsldsseditquantiles
vsldSSEditQuantiles
vsldsseditrobustcovariance
vsldSSEditRobustCovariance
vsldsseditstreamquantiles
vsldSSEditStreamQuantiles
vsldssedittask
vsldSSEditTask
vsldssnewtask
vsldSSNewTask
VSL Fortran header
vslGetBrngProperties
vslGetNumRegBrngs
vslGetStreamStateBrng
vsLinearFrac
vsliNewAbstractStream
vslissedittask
vsliSSEditTask
vslLeapFrogStream
vslLoadStreamF
vsLn
vslNewStream
vslNewStreamEx
vsLog10
vsLog1p
VSL routines
advanced service routines
GetBrngProperties
RegisterBrng
GetBrngProperties
RegisterBrng
convolution/correlation
CopyTask
DeleteTask
Exec
Exec1D
ExecX
ExecX1D
NewTask
NewTask1D
NewTaskX
NewTaskX1D
SetInternalPrecision
CopyTask
DeleteTask
Exec
Exec1D
ExecX
ExecX1D
NewTask
NewTask1D
NewTaskX
NewTaskX1D
SetInternalPrecision
generator routines
Bernoulli
Beta
Binomial
Cauchy
Exponential
Gamma
Gaussian
GaussianMV
Geometric
Gumbel
Hypergeometric
Laplace
Lognormal
NegBinomial
Poisson
PoissonV
Rayleigh
Uniform
Uniform
UniformBits
Weibull
Bernoulli
Beta
Binomial
Cauchy
Exponential
Gamma
Gaussian
GaussianMV
Geometric
Gumbel
Hypergeometric
Laplace
Lognormal
NegBinomial
Poisson
PoissonV
Rayleigh
Uniform (continuous)
Uniform (discrete)
UniformBits
Weibull
service routines
CopyStream
CopyStreamState
DeleteStream
dNewAbstractStream
GetNumRegBrngs
GetStreamStateBrng
iNewAbstractStream
LeapfrogStream
LoadStreamF
NewStream
NewStreamEx
SaveStreamF
SkipAheadStream
sNewAbstractStream
CopyStream
CopyStreamState
DeleteStream
dNewAbstractStream
GetNumRegBrngs
GetStreamStateBrng
iNewAbstractStream
LeapfrogStream
LoadStreamF
NewStream
NewStreamEx
SaveStreamF
SkipAheadStream
sNewAbstractStream
summary statistics
Compute
DeleteTask
EditCorParameterization
EditCovCor
EditMissingValues
EditMoments
EditOutliersDetection
EditPartialCovCor
EditPooledCovariance
EditQuantiles
EditRobustCovariance
EditStreamQuantiles
EditTask
NewTask
Compute
DeleteTask
EditCorParameterization
EditCovCor
EditMissingValues
EditMoments
EditOutliersDetection
EditPartialCovCor
EditPooledCovariance
EditQuantiles
EditRobustCovariance
EditStreamQuantiles
EditTask
NewTask
VSL routines:convolution/correlation
SetDecimation
SetMode
SetStart
SetInternalDecimation
SetMode
SetStart
vslSaveStreamF
vslsConvExec
vslsConvExec1D
vslsConvExecX
vslsConvExecX1D
vslsConvNewTask
vslsConvNewTask1D
vslsConvNewTaskX
vslsConvNewTaskX1D
vslsCorrExec
vslsCorrExec1D
vslsCorrExecX
vslsCorrExecX1D
vslsCorrNewTask
vslsCorrNewTask1D
vslsCorrNewTaskX
vslsCorrNewTaskX1D
vslSkipAheadStream
vslsNewAbstractStream
vslssdeletetask
vslSSDeleteTask
vslssscompute
vslsSSCompute
vslssseditcorparameterization
vslsSSEditCorParameterization
vslssseditcovcor
vslsSSEditCovCor
vslssseditmissingvalues
vslsSSEditMissingValues
vslssseditmoments
vslsSSEditMoments
vslssseditoutliersdetection
vslsSSEditOutliersDetection
vslssseditpartialcovcor
vslsSSEditPartialCovCor
vslssseditpooledcovariance
vslsSSEditPooledCovariance
vslssseditquantiles
vslsSSEditQuantiles
vslssseditrobustcovariance
vslsSSEditRobustCovariance
vslssseditstreamquantiles
vslsSSEditStreamQuantiles
vslsssedittask
vslsSSEditTask
vslsssnewtask
vslsSSNewTask
VSL Summary Statistics
VSLtask
vsModf
vsMul
vsNearbyInt
vsPackI
vsPackM
vsPackV
vsPow
vsPow2o3
vsPow3o2
vsPowx
vsRint
vsRngBeta
vsRngCauchy
vsRngExponential
vsRngGamma
vsRngGaussian
vsRngGaussianMV
vsRngGumbel
vsRngLaplace
vsRngLognormal
vsRngRayleigh
vsRngUniform
vsRngWeibull
vsRound
vsSin
vsSinCos
vsSinh
vsSqr
vsSqrt
vsSub
vsTan
vsTanh
vsTrunc
vsUnpackI
vsUnpackM
vsUnpackV
vzAbs
vzAcos
vzAcosh
vzAdd
vzArg
vzAsin
vzAsinh
vzAtan
vzAtanh
vzCIS
vzConj
vzCos
vzCosh
vzDiv
vzExp
vzLinearFrac
vzLn
vzLog10
vzMul
vzMulByConj
vzPow
vzPowx
vzSin
vzSinh
vzSqrt
vzSub
vzTan
vzTanh
Weibull
Wilkinson transform
xerbla
xerbla_array
xerbla, error reporting routine
PBLAS Routines
BLAS and Sparse BLAS Routines
Error Diagnostics
zaxpby
zaxpy
zaxpyi
zbdsqr
zcgesv
zcombamax1
zcopy
zcposv
zdbtf2
zdbtrf
zdotc
zdotci
zdotu
zdotui
zdscal
zdtsvb
zdttrf
zdttrfb
zdttrsb
zdttrsv
zgamn2d
zgamx2d
zgbcon
zgbequ
zgbequb
zgbmv
zgbrfs
zgbrfsx
zgbsv
zgbsvx
zgbsvxx
zgbtf2
zgbtrf
zgbtrs
zgebak
zgebal
zgebd2
zgebr2d
zgebrd
zgebs2d
zgecon
zgeequ
zgeequb
zgees
zgeesx
zgeev
zgeevx
zgehd2
zgehrd
zgelq2
zgelqf
zgels
zgelsd
zgelss
zgelsy
zgem2vc
zgemm
zgemm3m
zgemv
zgeql2
zgeqlf
zgeqp3
zgeqpf
zgeqr2
zgeqr2p
zgeqrf
zgeqrfp
zgerc
zgerfs
zgerfsx
zgerq2
zgerqf
zgeru
zgerv2d
zgesc2
zgesd2d
zgesdd
zgesv
zgesvd
zgesvx
zgesvxx
zgetc2
zgetf2
zgetrf
zgetri
zgetrs
zggbak
zggbal
zgges
zggesx
zggev
zggevx
zggglm
zgghrd
zgglse
zggqrf
zggrqf
zggsvd
zggsvp
zgsum2d
zgtcon
zgthr
zgthrz
zgtrfs
zgtsv
zgtsvx
zgttrf
zgttrs
zgtts2
zhbev
zhbevd
zhbevx
zhbgv
zhbgvd
zhbgvx
zhbmv
zhbtrd
zhecon
zheequb
zheev
zheevd
zheevr
zheevx
zhegs2
zhegst
zhegv
zhegvd
zhegvx
zhemm
zhemv
zher
zher2
zher2k
zherdb
zherfs
zherfsx
zherk
zhesv
zhesvx
zhesvxx
zhetd2
zhetf2
zhetrd
zhetrf
zhetri
zhetrs
zhfrk
zhgeqz
zhpcon
zhpev
zhpevd
zhpevx
zhpgst
zhpgv
zhpgvd
zhpgvx
zhprfs
zhpsv
zhpsvx
zhptrd
zhptrf
zhptri
zhptrs
zhsein
zhseqr
zlabrd
zlacgv
zlacn2
zlacon
zlacpy
zlacrm
zlacrt
zladiv
zlaed0
zlaed7
zlaed8
zlaein
zlaesy
zlaev2
zlag2c
zlagtm
zlahef
zlahqr
zlahr2
zlahrd
zlaic1
zlals0
zlalsa
zlalsd
zlangb
zlange
zlangt
zlanhb
zlanhe
zlanhf
zlanhp
zlanhs
zlanht
zlansb
zlansp
zlansy
zlantb
zlantp
zlantr
zlapll
zlapmt
zlaqgb
zlaqge
zlaqhb
zlaqp2
zlaqps
zlaqr0
zlaqr1
zlaqr2
zlaqr3
zlaqr4
zlaqr5
zlaqsb
zlaqsp
zlaqsy
zlar1v
zlar2v
zlarf
zlarfb
zlarfg
zlarfgp
zlarfp
zlarft
zlarfx
zlargv
zlarnv
zlarrv
zlartg
zlartv
zlarz
zlarzb
zlarzt
zlascl
zlaset
zlasr
zlassq
zlaswp
zlasyf
zlat2c
zlatbs
zlatdf
zlatps
zlatrd
zlatrs
zlatrz
zlauu2
zlauum
zpbequ
zpbocon
zpbrfs
zpbsv
zpbsvx
zpbtf2
zpbtrf
zpbtrs
zpftrf
zpftri
zpftrs
zpocon
zpoequ
zpoequb
zporfs
zporfsx
zposv
zposvx
zposvxx
zpotf2
zpotrf
zpotri
zpotrs
zppcon
zppequ
zpprfs
zppsv
zppsvx
zpptrf
zpptri
zpptrs
zpstf2
zpstrf
zptcon
zpteqr
zptrfs
zptsv
zptsvx
zpttrf
zpttrs
zpttrsv
zptts2
zrot
zrotg
zrscl
zscal
zsctr
zspcon
zspmv
zspr
zsprfs
zspsv
zspsvx
zsptrf
zsptri
zsptrs
zstedc
zstegr
zstein
zstemr
zsteqr
zswap
zsycon
zsyequb
zsymm
zsymv
zsyr
zsyr2k
zsyrfs
zsyrfsx
zsyrk
zsysv
zsysvx
zsysvxx
zsytf2
zsytrf
zsytri
zsytrs
ztbcon
ztbmv
ztbrfs
ztbsv
ztbtrs
ztfsm
ztftri
ztfttp
ztfttr
ztgevc
ztgex2
ztgexc
ztgsen
ztgsja
ztgsna
ztgsy2
ztgsyl
ztpcon
ztpmv
ztprfs
ztpsv
ztptri
ztptrs
ztpttf
ztpttr
ztrbr2d
ztrbs2d
ztrcon
ztrevc
ztrexc
ztrmm
ztrmv
ztrrfs
ztrrv2d
ztrsd2d
ztrsen
ztrsm
ztrsna
ztrsv
ztrsyl
ztrti2
ztrtri
ztrtrs
ztrttf
ztrttp
ztzrzf
zung2l
zung2r
zungbr
zunghr
zungl2
zunglq
zungql
zungqr
zungr2
zungrq
zungtr
zunm2l
zunm2r
zunmbr
zunmhr
zunml2
zunmlq
zunmql
zunmqr
zunmr2
zunmr3
zunmrq
zunmrz
zunmtr
zupgtr
zupmtr