Man page - gemv(3)

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Manual

gemv

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine cgemv (character trans, integer m, integer n, complex alpha,complex, dimension(lda,*) a, integer lda, complex, dimension(*) x,integer incx, complex beta, complex, dimension(*) y, integer incy)
subroutine dgemv (character trans, integer m, integer n, double precisionalpha, double precision, dimension(lda,*) a, integer lda, doubleprecision, dimension(*) x, integer incx, double precision beta, doubleprecision, dimension(*) y, integer incy)
subroutine sgemv (character trans, integer m, integer n, real alpha, real,dimension(lda,*) a, integer lda, real, dimension(*) x, integer incx,real beta, real, dimension(*) y, integer incy)
subroutine zgemv (character trans, integer m, integer n, complex*16 alpha,complex*16, dimension(lda,*) a, integer lda, complex*16, dimension(*)x, integer incx, complex*16 beta, complex*16, dimension(*) y, integerincy)
Author

NAME

gemv - gemv: general matrix-vector multiply

SYNOPSIS

Functions

subroutine cgemv (trans, m, n, alpha, a, lda, x, incx, beta, y, incy)
CGEMV
subroutine dgemv (trans, m, n, alpha, a, lda, x, incx, beta, y, incy)
DGEMV
subroutine sgemv (trans, m, n, alpha, a, lda, x, incx, beta, y, incy)
SGEMV
subroutine zgemv (trans, m, n, alpha, a, lda, x, incx, beta, y, incy)
ZGEMV

Detailed Description

Function Documentation

subroutine cgemv (character trans, integer m, integer n, complex alpha,complex, dimension(lda,*) a, integer lda, complex, dimension(*) x,integer incx, complex beta, complex, dimension(*) y, integer incy)

CGEMV

Purpose:

CGEMV 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.

Parameters

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
On entry, ALPHA specifies the scalar alpha.

A

A is COMPLEX 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 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
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 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.
If either m or n is zero, then Y not referenced and the function
performs a quick return.

INCY

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

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.

subroutine dgemv (character trans, integer m, integer n, double precisionalpha, double precision, dimension(lda,*) a, integer lda, doubleprecision, dimension(*) x, integer incx, double precision beta, doubleprecision, dimension(*) y, integer incy)

DGEMV

Purpose:

DGEMV performs one of the matrix-vector operations

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

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

Parameters

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**T*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 DOUBLE PRECISION.
On entry, ALPHA specifies the scalar alpha.

A

A is DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION.
On entry, BETA specifies the scalar beta. When BETA is
supplied as zero then Y need not be set on input.

Y

Y is DOUBLE PRECISION 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.
If either m or n is zero, then Y not referenced and the function
performs a quick return.

INCY

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

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.

subroutine sgemv (character trans, integer m, integer n, real alpha, real,dimension(lda,*) a, integer lda, real, dimension(*) x, integer incx,real beta, real, dimension(*) y, integer incy)

SGEMV

Purpose:

SGEMV performs one of the matrix-vector operations

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

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

Parameters

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**T*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 REAL
On entry, ALPHA specifies the scalar alpha.

A

A is REAL 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 REAL 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 REAL
On entry, BETA specifies the scalar beta. When BETA is
supplied as zero then Y need not be set on input.

Y

Y is REAL 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.
If either m or n is zero, then Y not referenced and the function
performs a quick return.

INCY

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

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.

subroutine zgemv (character trans, integer m, integer n, complex*16 alpha,complex*16, dimension(lda,*) a, integer lda, complex*16, dimension(*)x, integer incx, complex*16 beta, complex*16, dimension(*) y, integerincy)

ZGEMV

Purpose:

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.

Parameters

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*16
On entry, ALPHA specifies the scalar alpha.

A

A is COMPLEX*16 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*16 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*16
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*16 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.
If either m or n is zero, then Y not referenced and the function
performs a quick return.

INCY

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

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

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.

Author

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