DLAGTM man page on Scientific

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DLAGTM(1)	    LAPACK auxiliary routine (version 3.2)	     DLAGTM(1)

NAME
       DLAGTM  - 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

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, * )

PURPOSE
       DLAGTM performs a matrix-vector product of the form

ARGUMENTS
       TRANS   (input) 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       (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).

 LAPACK auxiliary routine (versioNovember 2008			     DLAGTM(1)
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