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CentOS 7.0 - man page for zunmrq (centos section 3)

zunmrq.f(3)				      LAPACK				      zunmrq.f(3)

NAME
       zunmrq.f -

SYNOPSIS
   Functions/Subroutines
       subroutine zunmrq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	   ZUNMRQ

Function/Subroutine Documentation
   subroutine zunmrq (characterSIDE, characterTRANS, integerM, integerN, integerK, complex*16,
       dimension( lda, * )A, integerLDA, complex*16, dimension( * )TAU, complex*16, dimension(
       ldc, * )C, integerLDC, complex*16, dimension( * )WORK, integerLWORK, integerINFO)
       ZUNMRQ

       Purpose:

	    ZUNMRQ 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 defined as the product of k
	    elementary reflectors

		  Q = H(1)**H H(2)**H . . . H(k)**H

	    as returned by ZGERQF. Q is of order M if SIDE = 'L' and of order N
	    if SIDE = 'R'.

       Parameters:
	   SIDE

		     SIDE is CHARACTER*1
		     = 'L': apply Q or Q**H from the Left;
		     = 'R': apply Q or Q**H from the Right.

	   TRANS

		     TRANS is CHARACTER*1
		     = 'N':  No transpose, apply Q;
		     = 'C':  Transpose, apply Q**H.

	   M

		     M is INTEGER
		     The number of rows of the matrix C. M >= 0.

	   N

		     N is INTEGER
		     The number of columns of the matrix C. N >= 0.

	   K

		     K is INTEGER
		     The number of elementary reflectors whose product defines
		     the matrix Q.
		     If SIDE = 'L', M >= K >= 0;
		     if SIDE = 'R', N >= K >= 0.

	   A

		     A is COMPLEX*16 array, dimension
					  (LDA,M) if SIDE = 'L',
					  (LDA,N) if SIDE = 'R'
		     The i-th row must contain the vector which defines the
		     elementary reflector H(i), for i = 1,2,...,k, as returned by
		     ZGERQF in the last k rows of its array argument A.

	   LDA

		     LDA is INTEGER
		     The leading dimension of the array A. LDA >= max(1,K).

	   TAU

		     TAU is COMPLEX*16 array, dimension (K)
		     TAU(i) must contain the scalar factor of the elementary
		     reflector H(i), as returned by ZGERQF.

	   C

		     C is 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

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

	   WORK

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

	   LWORK

		     LWORK is 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

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

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 169 of file zunmrq.f.

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

Version 3.4.2				 Tue Sep 25 2012			      zunmrq.f(3)


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