# slagtm.f(3) [centos man page]

```slagtm.f(3)							      LAPACK							       slagtm.f(3)

NAME
slagtm.f -

SYNOPSIS
Functions/Subroutines
subroutine slagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB)
SLAGTM performs a matrix-matrix product of the form C = aAB+BC, where A is a tridiagonal matrix, B and C are rectangular matrices, and
a and B are scalars, which may be 0, 1, or -1.

Function/Subroutine Documentation
subroutine slagtm (characterTRANS, integerN, integerNRHS, realALPHA, real, dimension( * )DL, real, dimension( * )D, real, dimension( * )DU,
real, dimension( ldx, * )X, integerLDX, realBETA, real, dimension( ldb, * )B, integerLDB)
SLAGTM performs a matrix-matrix product of the form C = aAB+BC, where A is a tridiagonal matrix, B and C are rectangular matrices, and a
and B are scalars, which may be 0, 1, or -1.

Purpose:

SLAGTM performs a matrix-vector 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.

Date:
September 2012

Definition at line 145 of file slagtm.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       slagtm.f(3)```

## Check Out this Related Man Page

```clagtm.f(3)							      LAPACK							       clagtm.f(3)

NAME
clagtm.f -

SYNOPSIS
Functions/Subroutines
subroutine clagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB)
CLAGTM

Function/Subroutine Documentation
subroutine clagtm (characterTRANS, integerN, integerNRHS, realALPHA, complex, dimension( * )DL, complex, dimension( * )D, complex, dimension( *
)DU, complex, dimension( ldx, * )X, integerLDX, realBETA, complex, dimension( ldb, * )B, integerLDB)
CLAGTM

Purpose:

CLAGTM performs a matrix-vector 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.

Date:
November 2011

Definition at line 145 of file clagtm.f.

Author
Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013						       clagtm.f(3)```
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