zspmv (3)  Linux Manuals
NAME
zspmv.f 
SYNOPSIS
Functions/Subroutines
subroutine zspmv (UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY)
ZSPMV computes a matrixvector product for complex vectors using a complex symmetric packed matrix
Function/Subroutine Documentation
subroutine zspmv (characterUPLO, integerN, complex*16ALPHA, complex*16, dimension( * )AP, complex*16, dimension( * )X, integerINCX, complex*16BETA, complex*16, dimension( * )Y, integerINCY)
ZSPMV computes a matrixvector product for complex vectors using a complex symmetric packed matrix
Purpose:

ZSPMV performs the matrixvector 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, supplied in packed form.
Parameters:

UPLO
UPLO is CHARACTER*1 On entry, UPLO specifies whether the upper or lower triangular part of the matrix A is supplied in the packed array AP as follows: UPLO = 'U' or 'u' The upper triangular part of A is supplied in AP. UPLO = 'L' or 'l' The lower triangular part of A is supplied in AP. Unchanged on exit.
NN is INTEGER On entry, N specifies the order of the matrix A. N must be at least zero. Unchanged on exit.
ALPHAALPHA is COMPLEX*16 On entry, ALPHA specifies the scalar alpha. Unchanged on exit.
APAP is COMPLEX*16 array, dimension at least ( ( N*( N + 1 ) )/2 ). Before entry, with UPLO = 'U' or 'u', the array AP must contain the upper triangular part of the symmetric matrix packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) respectively, and so on. Before entry, with UPLO = 'L' or 'l', the array AP must contain the lower triangular part of the symmetric matrix packed sequentially, column by column, so that AP( 1 ) contains a( 1, 1 ), AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) respectively, and so on. Unchanged on exit.
XX 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.
INCXINCX is INTEGER On entry, INCX specifies the increment for the elements of X. INCX must not be zero. Unchanged on exit.
BETABETA 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.
YY 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.
INCYINCY 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 152 of file zspmv.f.
Author
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