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

ZUNMTR(l)					)					ZUNMTR(l)

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

SYNOPSIS
       SUBROUTINE ZUNMTR( SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO )

	   CHARACTER	  SIDE, TRANS, UPLO

	   INTEGER	  INFO, LDA, LDC, LWORK, M, N

	   COMPLEX*16	  A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * )

PURPOSE
       ZUNMTR 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
       ZHETRD:

       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  triangle  of  A contains elementary reflectors from ZHETRD; = 'L':
	       Lower triangle of A contains elementary reflectors from ZHETRD.

       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.

       A       (input) COMPLEX*16 array, dimension
	       (LDA,M) if SIDE = 'L' (LDA,N) if SIDE = 'R' The vectors which define  the  elemen-
	       tary reflectors, as returned by ZHETRD.

       LDA     (input) INTEGER
	       The  leading  dimension	of  the  array	A.  LDA >= max(1,M) if SIDE = 'L'; LDA >=
	       max(1,N) if SIDE = 'R'.

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

       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/output) COMPLEX*16 array, dimension (LWORK)
	       On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

       LWORK   (input) INTEGER
	       The dimension of the array WORK.  If SIDE = 'L', LWORK >= max(1,N); if SIDE = 'R',
	       LWORK >= max(1,M).  For optimum performance LWORK >= N*NB if SIDE = 'L', and LWORK
	       >=M*NB if SIDE = 'R', where NB is the optimal blocksize.

	       If LWORK = -1, then a workspace query is assumed; the routine only calculates  the
	       optimal	size of the WORK array, returns this value as the first entry of the WORK
	       array, and no error message related to LWORK is issued by XERBLA.

       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 				ZUNMTR(l)


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