NAME
dlagtm - 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 zero, one, or minus
one
SYNOPSIS
SUBROUTINE DLAGTM( TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX,
BETA, B, LDB )
CHARACTER TRANS
INTEGER LDB, LDX, N, NRHS
DOUBLE PRECISION ALPHA, BETA
DOUBLE PRECISION B( LDB, * ), D( * ), DL( * ), DU( * ), X(
LDX, * )
#include <sunperf.h>
void dlagtm(char trans, int n, int nrhs, double alpha, dou-
ble *dl, double *d, double *du, double *dx, int
ldx, double dbeta, double *db, int ldb) ;
PURPOSE
DLAGTM performs a matrix-vector product of the form
ARGUMENTS
TRANS (input) CHARACTER
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 (input) INTEGER
The order of the matrix A. N >= 0.
NRHS (input) INTEGER
The number of right hand sides, i.e., the number
of columns of the matrices X and B.
ALPHA (input) DOUBLE PRECISION
The scalar alpha. ALPHA must be 0., 1., or -1.;
otherwise, it is assumed to be 0.
DL (input) DOUBLE PRECISION array, dimension (N-1)
The (n-1) sub-diagonal elements of T.
D (input) DOUBLE PRECISION array, dimension (N)
The diagonal elements of T.
DU (input) DOUBLE PRECISION array, dimension (N-1)
The (n-1) super-diagonal elements of T.
X (input) DOUBLE PRECISION array, dimension
(LDX,NRHS)
The N by NRHS matrix X. LDX (input) INTEGER
The leading dimension of the array X. LDX >=
max(N,1).
BETA (input) DOUBLE PRECISION
The scalar beta. BETA must be 0., 1., or -1.;
otherwise, it is assumed to be 1.
B (input/output) 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 (input) INTEGER
The leading dimension of the array B. LDB >=
max(N,1).
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