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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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