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clagtm

CLAGTM(l)								 )								 CLAGTM(l)

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

SYNOPSIS

       SUBROUTINE CLAGTM( TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB )

	   CHARACTER	  TRANS

	   INTEGER	  LDB, LDX, N, NRHS

	   REAL 	  ALPHA, BETA

	   COMPLEX	  B( LDB, * ), D( * ), DL( * ), DU( * ), X( LDX, * )

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.

ARGUMENTS

       TRANS   (input) CHARACTER
	       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       (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) REAL
	       The scalar alpha.  ALPHA must be 0., 1., or -1.; otherwise, it is assumed to be 0.

       DL      (input) COMPLEX array, dimension (N-1)
	       The (n-1) sub-diagonal elements of T.

       D       (input) COMPLEX array, dimension (N)
	       The diagonal elements of T.

       DU      (input) COMPLEX array, dimension (N-1)
	       The (n-1) super-diagonal elements of T.

       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).

       BETA    (input) REAL
	       The scalar beta.  BETA must be 0., 1., or -1.; otherwise, it is assumed to be 1.

       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.

       LDB     (input) INTEGER
	       The leading dimension of the array B.  LDB >= max(N,1).

LAPACK version 3.0						   15 June 2000 							 CLAGTM(l)

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