C Library Functions  - zgemv (3)

NAME

zgemv(3f) - [BLAS:COMPLEX_16_BLAS_LEVEL2]

CONTENTS

Synopsis
Definition
Options
     Y
Authors
     Further Details
See Also

SYNOPSIS

subroutine zgemv(trans,m,n,alpha,a,lda,x,incx,beta,y,incy)

      .. Scalar Arguments ..
      complex(kind=real64),intent(in)    :: alpha,beta
      integer,intent(in)                 :: incx,incy,lda,m,n
      character,intent(in)               :: trans
      ..
      .. Array Arguments ..
      complex(kind=real64),intent(in)    :: a(lda,*),x(*)
      complex(kind=real64),intent(inout) :: y(*)
      ..

DEFINITION

ZGEMV performs one of the matrix-vector operations

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

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

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

OPTIONS

    TRANS

TRANS is CHARACTER*1 On entry, TRANS specifies the operation to be performed as follows:

              TRANS = ’N’ or ’n’   y := alpha*A*x + beta*y.

TRANS = ’T’ or ’t’ y := alpha*A**T*x + beta*y.

TRANS = ’C’ or ’c’ y := alpha*A**H*x + beta*y.

    M

M is INTEGER On entry, M specifies the number of rows of the matrix A. M must be at least zero.

    N

N is INTEGER On entry, N specifies the number of columns of the matrix A. N must be at least zero.

    ALPHA

ALPHA is complex(kind=real64) On entry, ALPHA specifies the scalar alpha.

    A

A is complex(kind=real64) array, dimension ( LDA, N ) Before entry, the leading m by n part of the array A must contain the matrix of coefficients.

    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, m ).

    X

X is complex(kind=real64) array, dimension at least ( 1 + ( n - 1 )*abs( INCX ) ) when TRANS = ’N’ or ’n’ and at least ( 1 + ( m - 1 )*abs( INCX ) ) otherwise. Before entry, the incremented array X must contain the vector x.

    INCX

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

    BETA

BETA is complex(kind=real64) On entry, BETA specifies the scalar beta. When BETA is supplied as zero then Y need not be set on input.

    Y

Y is complex(kind=real64) array, dimension at least ( 1 + ( m - 1 )*abs( INCY ) ) when TRANS = ’N’ or ’n’ and at least ( 1 + ( n - 1 )*abs( INCY ) ) otherwise. Before entry with BETA non-zero, the incremented array Y must contain the 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.

AUTHORS

o Univ. of Tennessee
o Univ. of California Berkeley
o Univ. of Colorado Denver
o NAG Ltd.

 date:December 2016

    FURTHER DETAILS

Level 2 Blas routine. The vector and matrix arguments are not referenced when N = 0, or M = 0

-- Written on 22-October-1986. Jack Dongarra, Argonne National Lab. Jeremy Du Croz, Nag Central Office. Sven Hammarling, Nag Central Office. Richard Hanson, Sandia National Labs.

SEE ALSO

Online html documentation available at http://www.netlib.org/lapack/explore-html/


Nemo Release 3.1 zgemv (3) July 22, 2023
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