Computes a matrix-vector product for a complex symmetric matrix.
call csymv( uplo, n, alpha, a, lda, x, incx, beta, y, incy )
call zsymv( uplo, n, alpha, a, lda, x, incx, beta, y, incy )
The FORTRAN 77 interfaces are specified in the mkl_lapack.fi include file (to be used in Fortran programs) and in the mkl_lapack.h include file (to be used in C programs).
The routine performs the matrix-vector operation defined as
y := alpha*a*x + beta*y,
where:
alpha and beta are complex scalars
x and y are n-element complex vectors
a is an n-by-n symmetric complex matrix.
These routines have their real equivalents in BLAS (see ?symv in Chapter "BLAS and Sparse BLAS Routines").
CHARACTER*1. Specifies whether the upper or lower triangular part of the array a is used:
If uplo = 'U' or 'u', then the upper triangular part of the array a is used.
If uplo = 'L' or 'l', then the lower triangular part of the array a is used.
INTEGER. Specifies the order of the matrix a. The value of n must be at least zero.
COMPLEX for csymv
COMPLEX*16 for zsymv
Specify the scalars alpha and beta. When beta is supplied as zero, then y need not be set on input.
COMPLEX for csymv
COMPLEX*16 for zsymv
Array, DIMENSION (lda, n). Before entry with uplo = 'U' or 'u', the leading n-by-n upper triangular part of the array a must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of a is not referenced. Before entry with uplo = 'L' or 'l', the leading n-by-n lower triangular part of the array a must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of a is not referenced.
INTEGER. Specifies the first dimension of A as declared in the calling (sub)program. The value of lda must be at least max(1,n).
COMPLEX for csymv
COMPLEX*16 for zsymv
Array, DIMENSION at least (1 + (n - 1)*abs(incx)). Before entry, the incremented array x must contain the n-element vector x.
INTEGER. Specifies the increment for the elements of x. The value of incx must not be zero.
COMPLEX for csymv
COMPLEX*16 for zsymv
Array, DIMENSION at least (1 + (n - 1)*abs(incy)). Before entry, the incremented array y must contain the n-element vector y.
INTEGER. Specifies the increment for the elements of y. The value of incy must not be zero.
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