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.TH CLAGTM l "15 June 2000" "LAPACK version 3.0" ")"
.SH NAME
CLAGTM - perform 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
.SH SYNOPSIS
.TP 19
SUBROUTINE CLAGTM(
TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA,
B, LDB )
.TP 19
.ti +4
CHARACTER
TRANS
.TP 19
.ti +4
INTEGER
LDB, LDX, N, NRHS
.TP 19
.ti +4
REAL
ALPHA, BETA
.TP 19
.ti +4
COMPLEX
B( LDB, * ), D( * ), DL( * ), DU( * ),
X( LDX, * )
.SH 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.
.SH ARGUMENTS
.TP 8
TRANS (input) CHARACTER
Specifies the operation applied to A.
= 'N': No transpose, B := alpha * A * X + beta * B
.br
= 'T': Transpose, B := alpha * A**T * X + beta * B
.br
= 'C': Conjugate transpose, B := alpha * A**H * X + beta * B
.TP 8
N (input) INTEGER
The order of the matrix A. N >= 0.
.TP 8
NRHS (input) INTEGER
The number of right hand sides, i.e., the number of columns
of the matrices X and B.
.TP 8
ALPHA (input) REAL
The scalar alpha. ALPHA must be 0., 1., or -1.; otherwise,
it is assumed to be 0.
.TP 8
DL (input) COMPLEX array, dimension (N-1)
The (n-1) sub-diagonal elements of T.
.TP 8
D (input) COMPLEX array, dimension (N)
The diagonal elements of T.
.TP 8
DU (input) COMPLEX array, dimension (N-1)
The (n-1) super-diagonal elements of T.
.TP 8
X (input) COMPLEX array, dimension (LDX,NRHS)
The N by NRHS matrix X.
LDX (input) INTEGER
The leading dimension of the array X. LDX >= max(N,1).
.TP 8
BETA (input) REAL
The scalar beta. BETA must be 0., 1., or -1.; otherwise,
it is assumed to be 1.
.TP 8
B (input/output) 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.
.TP 8
LDB (input) INTEGER
The leading dimension of the array B. LDB >= max(N,1).
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