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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