zlagtm(l) [redhat man page]

ZLAGTM(l)								 )								 ZLAGTM(l)

NAME

       ZLAGTM  -  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 ZLAGTM( TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB )

	   CHARACTER	  TRANS

	   INTEGER	  LDB, LDX, N, NRHS

	   DOUBLE	  PRECISION ALPHA, BETA

	   COMPLEX*16	  B( LDB, * ), D( * ), DL( * ), DU( * ), X( LDX, * )

PURPOSE

       ZLAGTM 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) DOUBLE PRECISION
	       The scalar alpha.  ALPHA must be 0., 1., or -1.; otherwise, it is assumed to be 0.

       DL      (input) COMPLEX*16 array, dimension (N-1)
	       The (n-1) sub-diagonal elements of T.

       D       (input) COMPLEX*16 array, dimension (N)
	       The diagonal elements of T.

       DU      (input) COMPLEX*16 array, dimension (N-1)
	       The (n-1) super-diagonal elements of T.

       X       (input) COMPLEX*16 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) COMPLEX*16 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 							 ZLAGTM(l)

clagtm.f(3)							      LAPACK							       clagtm.f(3)

NAME

       clagtm.f -

SYNOPSIS

   Functions/Subroutines
       subroutine clagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB)
	   CLAGTM

Function/Subroutine Documentation
   subroutine clagtm (characterTRANS, integerN, integerNRHS, realALPHA, complex, dimension( * )DL, complex, dimension( * )D, complex, dimension( *
       )DU, complex, dimension( ldx, * )X, integerLDX, realBETA, complex, dimension( ldb, * )B, integerLDB)
       CLAGTM

       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.

       Parameters:
	   TRANS

		     TRANS is CHARACTER*1
		     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

		     N is INTEGER
		     The order of the matrix A.  N >= 0.

	   NRHS

		     NRHS is INTEGER
		     The number of right hand sides, i.e., the number of columns
		     of the matrices X and B.

	   ALPHA

		     ALPHA is REAL
		     The scalar alpha.	ALPHA must be 0., 1., or -1.; otherwise,
		     it is assumed to be 0.

	   DL

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

	   D

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

	   DU

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

	   X

		     X is COMPLEX array, dimension (LDX,NRHS)
		     The N by NRHS matrix X.

	   LDX

		     LDX is INTEGER
		     The leading dimension of the array X.  LDX >= max(N,1).

	   BETA

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

	   B

		     B is 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

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

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 145 of file clagtm.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013						       clagtm.f(3)