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 zlagtm.f(3) LAPACK zlagtm.f(3)

zlagtm.f -

# SYNOPSIS

## Functions/Subroutines

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.

# Function/Subroutine Documentation

## subroutine zlagtm (characterTRANS, integerN, integerNRHS, double precisionALPHA, complex*16, dimension( * )DL, complex*16, dimension( * )D, complex*16, dimension( * )DU, complex*16, dimension( ldx, * )X, integerLDX, double precisionBETA, complex*16, dimension( ldb, * )B, integerLDB)

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-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 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
NAG Ltd.
Date:
September 2012
Definition at line 145 of file zlagtm.f.

# Author

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