Man page - lagtm(3)

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Manual

lagtm

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine clagtm (character trans, integer n, integer nrhs, real alpha,complex, dimension( * ) dl, complex, dimension( * ) d, complex,dimension( * ) du, complex, dimension( ldx, * ) x, integer ldx, realbeta, complex, dimension( ldb, * ) b, integer ldb)
subroutine dlagtm (character trans, integer n, integer nrhs, doubleprecision alpha, double precision, dimension( * ) dl, double precision,dimension( * ) d, double precision, dimension( * ) du, doubleprecision, dimension( ldx, * ) x, integer ldx, double precision beta,double precision, dimension( ldb, * ) b, integer ldb)
subroutine slagtm (character trans, integer n, integer nrhs, real alpha,real, dimension( * ) dl, real, dimension( * ) d, real, dimension( * )du, real, dimension( ldx, * ) x, integer ldx, real beta, real,dimension( ldb, * ) b, integer ldb)
subroutine zlagtm (character trans, integer n, integer nrhs, doubleprecision alpha, complex*16, dimension( * ) dl, complex*16, dimension(* ) d, complex*16, dimension( * ) du, complex*16, dimension( ldx, * )x, integer ldx, double precision beta, complex*16, dimension( ldb, * )b, integer ldb)
Author

NAME

lagtm - lagtm: tridiagonal matrix-matrix multiply

SYNOPSIS

Functions

subroutine clagtm (trans, n, nrhs, alpha, dl, d, du, x, ldx, beta, b, ldb)
CLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1.
subroutine dlagtm (trans, n, nrhs, alpha, dl, d, du, x, ldx, beta, b, ldb)
DLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1.
subroutine slagtm (trans, n, nrhs, alpha, dl, d, du, x, ldx, beta, b, ldb)
SLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1.
subroutine zlagtm (trans, n, nrhs, alpha, dl, d, du, x, ldx, beta, b, ldb)
ZLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1.

Detailed Description

Function Documentation

subroutine clagtm (character trans, integer n, integer nrhs, real alpha,complex, dimension( * ) dl, complex, dimension( * ) d, complex,dimension( * ) du, complex, dimension( ldx, * ) x, integer ldx, realbeta, complex, dimension( ldb, * ) b, integer ldb)

CLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1.

Purpose:

CLAGTM performs a matrix-matrix product of the form

B := alpha * A * X + beta * B

where A is a tridiagonal matrix of order N, B and X are N by NRHS
matrices, and alpha and beta are real scalars, each of which may be
0., 1., or -1.

Parameters

TRANS

TRANS is CHARACTER*1
Specifies the operation applied to A.
= ’N’: No transpose, B := alpha * A * X + beta * B
= ’T’: Transpose, B := alpha * A**T * X + beta * B
= ’C’: Conjugate transpose, B := alpha * A**H * X + beta * B

N

N is INTEGER
The order of the matrix A. N >= 0.

NRHS

NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrices X and B.

ALPHA

ALPHA is REAL
The scalar alpha. ALPHA must be 0., 1., or -1.; otherwise,
it is assumed to be 0.

DL

DL is COMPLEX array, dimension (N-1)
The (n-1) sub-diagonal elements of T.

D

D is COMPLEX array, dimension (N)
The diagonal elements of T.

DU

DU is COMPLEX array, dimension (N-1)
The (n-1) super-diagonal elements of T.

X

X is COMPLEX array, dimension (LDX,NRHS)
The N by NRHS matrix X.

LDX

LDX is INTEGER
The leading dimension of the array X. LDX >= max(N,1).

BETA

BETA is REAL
The scalar beta. BETA must be 0., 1., or -1.; otherwise,
it is assumed to be 1.

B

B is COMPLEX array, dimension (LDB,NRHS)
On entry, the N by NRHS matrix B.
On exit, B is overwritten by the matrix expression
B := alpha * A * X + beta * B.

LDB

LDB is INTEGER
The leading dimension of the array B. LDB >= max(N,1).

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine dlagtm (character trans, integer n, integer nrhs, doubleprecision alpha, double precision, dimension( * ) dl, double precision,dimension( * ) d, double precision, dimension( * ) du, doubleprecision, dimension( ldx, * ) x, integer ldx, double precision beta,double precision, dimension( ldb, * ) b, integer ldb)

DLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1.

Purpose:

DLAGTM performs a matrix-matrix product of the form

B := alpha * A * X + beta * B

where A is a tridiagonal matrix of order N, B and X are N by NRHS
matrices, and alpha and beta are real scalars, each of which may be
0., 1., or -1.

Parameters

TRANS

TRANS is CHARACTER*1
Specifies the operation applied to A.
= ’N’: No transpose, B := alpha * A * X + beta * B
= ’T’: Transpose, B := alpha * A’* X + beta * B
= ’C’: Conjugate transpose = Transpose

N

N is INTEGER
The order of the matrix A. N >= 0.

NRHS

NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrices X and B.

ALPHA

ALPHA is DOUBLE PRECISION
The scalar alpha. ALPHA must be 0., 1., or -1.; otherwise,
it is assumed to be 0.

DL

DL is DOUBLE PRECISION array, dimension (N-1)
The (n-1) sub-diagonal elements of T.

D

D is DOUBLE PRECISION array, dimension (N)
The diagonal elements of T.

DU

DU is DOUBLE PRECISION array, dimension (N-1)
The (n-1) super-diagonal elements of T.

X

X is DOUBLE PRECISION array, dimension (LDX,NRHS)
The N by NRHS matrix X.

LDX

LDX is INTEGER
The leading dimension of the array X. LDX >= max(N,1).

BETA

BETA is DOUBLE PRECISION
The scalar beta. BETA must be 0., 1., or -1.; otherwise,
it is assumed to be 1.

B

B is DOUBLE PRECISION array, dimension (LDB,NRHS)
On entry, the N by NRHS matrix B.
On exit, B is overwritten by the matrix expression
B := alpha * A * X + beta * B.

LDB

LDB is INTEGER
The leading dimension of the array B. LDB >= max(N,1).

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine slagtm (character trans, integer n, integer nrhs, real alpha,real, dimension( * ) dl, real, dimension( * ) d, real, dimension( * )du, real, dimension( ldx, * ) x, integer ldx, real beta, real,dimension( ldb, * ) b, integer ldb)

SLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1.

Purpose:

SLAGTM performs a matrix-matrix product of the form

B := alpha * A * X + beta * B

where A is a tridiagonal matrix of order N, B and X are N by NRHS
matrices, and alpha and beta are real scalars, each of which may be
0., 1., or -1.

Parameters

TRANS

TRANS is CHARACTER*1
Specifies the operation applied to A.
= ’N’: No transpose, B := alpha * A * X + beta * B
= ’T’: Transpose, B := alpha * A’* X + beta * B
= ’C’: Conjugate transpose = Transpose

N

N is INTEGER
The order of the matrix A. N >= 0.

NRHS

NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrices X and B.

ALPHA

ALPHA is REAL
The scalar alpha. ALPHA must be 0., 1., or -1.; otherwise,
it is assumed to be 0.

DL

DL is REAL array, dimension (N-1)
The (n-1) sub-diagonal elements of T.

D

D is REAL array, dimension (N)
The diagonal elements of T.

DU

DU is REAL array, dimension (N-1)
The (n-1) super-diagonal elements of T.

X

X is REAL array, dimension (LDX,NRHS)
The N by NRHS matrix X.

LDX

LDX is INTEGER
The leading dimension of the array X. LDX >= max(N,1).

BETA

BETA is REAL
The scalar beta. BETA must be 0., 1., or -1.; otherwise,
it is assumed to be 1.

B

B is REAL array, dimension (LDB,NRHS)
On entry, the N by NRHS matrix B.
On exit, B is overwritten by the matrix expression
B := alpha * A * X + beta * B.

LDB

LDB is INTEGER
The leading dimension of the array B. LDB >= max(N,1).

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

subroutine zlagtm (character trans, integer n, integer nrhs, doubleprecision alpha, complex*16, dimension( * ) dl, complex*16, dimension(* ) d, complex*16, dimension( * ) du, complex*16, dimension( ldx, * )x, integer ldx, double precision beta, complex*16, dimension( ldb, * )b, integer ldb)

ZLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1.

Purpose:

ZLAGTM performs a matrix-matrix product of the form

B := alpha * A * X + beta * B

where A is a tridiagonal matrix of order N, B and X are N by NRHS
matrices, and alpha and beta are real scalars, each of which may be
0., 1., or -1.

Parameters

TRANS

TRANS is CHARACTER*1
Specifies the operation applied to A.
= ’N’: No transpose, B := alpha * A * X + beta * B
= ’T’: Transpose, B := alpha * A**T * X + beta * B
= ’C’: Conjugate transpose, B := alpha * A**H * X + beta * B

N

N is INTEGER
The order of the matrix A. N >= 0.

NRHS

NRHS is INTEGER
The number of right hand sides, i.e., the number of columns
of the matrices X and B.

ALPHA

ALPHA is DOUBLE PRECISION
The scalar alpha. ALPHA must be 0., 1., or -1.; otherwise,
it is assumed to be 0.

DL

DL is COMPLEX*16 array, dimension (N-1)
The (n-1) sub-diagonal elements of T.

D

D is COMPLEX*16 array, dimension (N)
The diagonal elements of T.

DU

DU is COMPLEX*16 array, dimension (N-1)
The (n-1) super-diagonal elements of T.

X

X is COMPLEX*16 array, dimension (LDX,NRHS)
The N by NRHS matrix X.

LDX

LDX is INTEGER
The leading dimension of the array X. LDX >= max(N,1).

BETA

BETA is DOUBLE PRECISION
The scalar beta. BETA must be 0., 1., or -1.; otherwise,
it is assumed to be 1.

B

B is COMPLEX*16 array, dimension (LDB,NRHS)
On entry, the N by NRHS matrix B.
On exit, B is overwritten by the matrix expression
B := alpha * A * X + beta * B.

LDB

LDB is INTEGER
The leading dimension of the array B. LDB >= max(N,1).

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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