CUNMRQ man page on IRIX

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CUNMRQ(3F)							    CUNMRQ(3F)

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

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

	 CHARACTER	SIDE, TRANS

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

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

PURPOSE
     CUNMRQ overwrites the general complex M-by-N matrix C with 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(2)' . . . H(k)'

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

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

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

     K	     (input) 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	     (input) COMPLEX 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 CGERQF in the last k rows of
	     its array argument A.  A is modified by the routine but restored

									Page 1

CUNMRQ(3F)							    CUNMRQ(3F)

	     on exit.

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

     TAU     (input) COMPLEX array, dimension (K)
	     TAU(i) must contain the scalar factor of the elementary reflector
	     H(i), as returned by CGERQF.

     C	     (input/output) COMPLEX 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 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.

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

									Page 2

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