zsymv (l)  Linux Manuals
zsymv: performs the matrixvector operation y := alpha*A*x + beta*y,
Command to display zsymv
manual in Linux: $ man l zsymv
NAME
ZSYMV  performs the matrixvector operation y := alpha*A*x + beta*y,
SYNOPSIS
 SUBROUTINE ZSYMV(

UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY )

CHARACTER
UPLO

INTEGER
INCX, INCY, LDA, N

COMPLEX*16
ALPHA, BETA

COMPLEX*16
A( LDA, * ), X( * ), Y( * )
PURPOSE
ZSYMV performs the matrixvector operation
where alpha and beta are scalars, x and y are n element vectors and
A is an n by n symmetric matrix.
ARGUMENTS
 UPLO (input) CHARACTER*1

On entry, UPLO specifies whether the upper or lower
triangular part of the array A is to be referenced as
follows:
UPLO = aqUaq or aquaq Only the upper triangular part of A
is to be referenced.
UPLO = aqLaq or aqlaq Only the lower triangular part of A
is to be referenced.
Unchanged on exit.
 N (input) INTEGER

On entry, N specifies the order of the matrix A.
N must be at least zero.
Unchanged on exit.
 ALPHA (input) COMPLEX*16

On entry, ALPHA specifies the scalar alpha.
Unchanged on exit.
 A (input) COMPLEX*16 array, dimension ( LDA, N )

Before entry, with UPLO = aqUaq or aquaq, 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 = aqLaq or aqlaq, 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 (input) 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 (input) 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 (input) INTEGER

On entry, INCX specifies the increment for the elements of
X. INCX must not be zero.
Unchanged on exit.
 BETA (input) 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 (input/output) 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 (input) INTEGER

On entry, INCY specifies the increment for the elements of
Y. INCY must not be zero.
Unchanged on exit.
Pages related to zsymv
 zsymv (3)
 zsymm (l)  performs one of the matrixmatrix operations C := alpha*A*B + beta*C,
 zsycon (l)  estimates the reciprocal of the condition number (in the 1norm) of a complex symmetric matrix A using the factorization A = U*D*U**T or A = L*D*L**T computed by ZSYTRF
 zsyequb (l)  computes row and column scalings intended to equilibrate a symmetric matrix A and reduce its condition number (with respect to the twonorm)
 zsyr (l)  performs the symmetric rank 1 operation A := alpha*x*( xaq ) + A,
 zsyr2k (l)  performs one of the symmetric rank 2k operations C := alpha*A*Baq + alpha*B*Aaq + beta*C,
 zsyrfs (l)  improves the computed solution to a system of linear equations when the coefficient matrix is symmetric indefinite, and provides error bounds and backward error estimates for the solution
 zsyrfsx (l)  ZSYRFSX improve the computed solution to a system of linear equations when the coefficient matrix is symmetric indefinite, and provides error bounds and backward error estimates for the solution
 zsyrk (l)  performs one of the symmetric rank k operations C := alpha*A*Aaq + beta*C,