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RedHat 9 (Linux i386) - man page for zupmtr (redhat section l)

ZUPMTR(l)					)					ZUPMTR(l)

NAME
       ZUPMTR - overwrite the general complex M-by-N matrix C with  SIDE = 'L' SIDE = 'R' TRANS =
       'N'

SYNOPSIS
       SUBROUTINE ZUPMTR( SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO )

	   CHARACTER	  SIDE, TRANS, UPLO

	   INTEGER	  INFO, LDC, M, N

	   COMPLEX*16	  AP( * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE
       ZUPMTR overwrites the general complex M-by-N matrix C with SIDE = 'L' SIDE = 'R'  TRANS	=
       'N': Q * C C * Q TRANS = 'C':	  Q**H * C	 C * Q**H

       where  Q  is a complex unitary matrix of order nq, with nq = m if SIDE = 'L' and nq = n if
       SIDE = 'R'. Q is defined as the product of nq-1 elementary reflectors, as returned by ZHP-
       TRD using packed storage:

       if UPLO = 'U', Q = H(nq-1) . . . H(2) H(1);

       if UPLO = 'L', Q = H(1) H(2) . . . H(nq-1).

ARGUMENTS
       SIDE    (input) CHARACTER*1
	       = 'L': apply Q or Q**H from the Left;
	       = 'R': apply Q or Q**H from the Right.

       UPLO    (input) CHARACTER*1
	       =  'U':	Upper  triangular  packed storage used in previous call to ZHPTRD; = 'L':
	       Lower triangular packed storage used in previous call to ZHPTRD.

       TRANS   (input) CHARACTER*1
	       = 'N':  No transpose, apply Q;
	       = 'C':  Conjugate transpose, apply Q**H.

       M       (input) INTEGER
	       The number of rows of the matrix C. M >= 0.

       N       (input) INTEGER
	       The number of columns of the matrix C. N >= 0.

       AP      (input) COMPLEX*16 array, dimension
	       (M*(M+1)/2) if SIDE = 'L' (N*(N+1)/2) if SIDE = 'R' The vectors which  define  the
	       elementary  reflectors,	as returned by ZHPTRD.	AP is modified by the routine but
	       restored on exit.

       TAU     (input) COMPLEX*16 array, dimension (M-1) if SIDE = 'L'
	       or (N-1) if SIDE = 'R' TAU(i) must contain the scalar  factor  of  the  elementary
	       reflector H(i), as returned by ZHPTRD.

       C       (input/output) COMPLEX*16 array, dimension (LDC,N)
	       On  entry,  the	M-by-N	matrix	C.  On exit, C is overwritten by Q*C or Q**H*C or
	       C*Q**H or C*Q.

       LDC     (input) INTEGER
	       The leading dimension of the array C. LDC >= max(1,M).

       WORK    (workspace) COMPLEX*16 array, dimension
	       (N) if SIDE = 'L' (M) if SIDE = 'R'

       INFO    (output) INTEGER
	       = 0:  successful exit
	       < 0:  if INFO = -i, the i-th argument had an illegal value

LAPACK version 3.0			   15 June 2000 				ZUPMTR(l)


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