# dlagtm.f - Man Page

SRC/dlagtm.f

## Synopsis

### Functions/Subroutines

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.

## Function/Subroutine Documentation

### subroutine dlagtm (character trans, integer n, integer nrhs, double precision alpha, double precision, dimension( * ) dl, double precision, dimension( * ) d, double precision, dimension( * ) du, double precision, 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

NAG Ltd.

Definition at line 143 of file dlagtm.f.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page dlagtm(3) is an alias of dlagtm.f(3).

Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK