zsymv.f man page

zsymv.f —

Synopsis

Functions/Subroutines

subroutine zsymv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY)
ZSYMV computes a matrix-vector product for a complex symmetric matrix.

Function/Subroutine Documentation

subroutine zsymv (characterUPLO, integerN, complex*16ALPHA, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( * )X, integerINCX, complex*16BETA, complex*16, dimension( * )Y, integerINCY)

ZSYMV computes a matrix-vector product for a complex symmetric matrix.

Purpose:

ZSYMV  performs the matrix-vector  operation

   y := alpha*A*x + beta*y,

where alpha and beta are scalars, x and y are n element vectors and
A is an n by n symmetric matrix.

Parameters:

UPLO

UPLO is CHARACTER*1
 On entry, UPLO specifies whether the upper or lower
 triangular part of the array A is to be referenced as
 follows:

    UPLO = 'U' or 'u'   Only the upper triangular part of A
                        is to be referenced.

    UPLO = 'L' or 'l'   Only the lower triangular part of A
                        is to be referenced.

 Unchanged on exit.

N

N is INTEGER
 On entry, N specifies the order of the matrix A.
 N must be at least zero.
 Unchanged on exit.

ALPHA

ALPHA is COMPLEX*16
 On entry, ALPHA specifies the scalar alpha.
 Unchanged on exit.

A

A is COMPLEX*16 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.
 Unchanged on exit.

LDA

LDA is INTEGER
 On entry, LDA specifies the first dimension of A as declared
 in the calling (sub) program. LDA must be at least
 max( 1, N ).
 Unchanged on exit.

X

X is COMPLEX*16 array, dimension at least
 ( 1 + ( N - 1 )*abs( INCX ) ).
 Before entry, the incremented array X must contain the N-
 element vector x.
 Unchanged on exit.

INCX

INCX is INTEGER
 On entry, INCX specifies the increment for the elements of
 X. INCX must not be zero.
 Unchanged on exit.

BETA

BETA is COMPLEX*16
 On entry, BETA specifies the scalar beta. When BETA is
 supplied as zero then Y need not be set on input.
 Unchanged on exit.

Y

Y is COMPLEX*16 array, dimension at least
 ( 1 + ( N - 1 )*abs( INCY ) ).
 Before entry, the incremented array Y must contain the n
 element vector y. On exit, Y is overwritten by the updated
 vector y.

INCY

INCY is INTEGER
 On entry, INCY specifies the increment for the elements of
 Y. INCY must not be zero.
 Unchanged on exit.

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

September 2012

Definition at line 158 of file zsymv.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.

Referenced By

zsymv(3) is an alias of zsymv.f(3).

Sat Nov 16 2013 Version 3.4.2 LAPACK