cunmr2(3) [centos man page]

cunmr2.f(3)							      LAPACK							       cunmr2.f(3)

NAME

       cunmr2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine cunmr2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
	   CUNMR2 multiplies a general matrix by the unitary matrix from a RQ factorization determined by cgerqf (unblocked algorithm).

Function/Subroutine Documentation
   subroutine cunmr2 (characterSIDE, characterTRANS, integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension(
       * )TAU, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK, integerINFO)
       CUNMR2 multiplies a general matrix by the unitary matrix from a RQ factorization determined by cgerqf (unblocked algorithm).

       Purpose:

	    CUNMR2 overwrites the general complex m-by-n matrix C with

		  Q * C  if SIDE = 'L' and TRANS = 'N', or

		  Q**H* C  if SIDE = 'L' and TRANS = 'C', or

		  C * Q  if SIDE = 'R' and TRANS = 'N', or

		  C * Q**H if SIDE = 'R' and TRANS = 'C',

	    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 CGERQF. 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': apply Q  (No transpose)
		     = 'C': apply Q**H (Conjugate transpose)

	   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 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 on exit.

	   LDA

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

	   TAU

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

	   C

		     C is 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

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

	   WORK

		     WORK is COMPLEX array, dimension
					      (N) if SIDE = 'L',
					      (M) if SIDE = 'R'

	   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:
	   September 2012

       Definition at line 159 of file cunmr2.f.

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

Version 3.4.2							  Tue Sep 25 2012						       cunmr2.f(3)

Check Out this Related Man Page

CUNMR2(l)								 )								 CUNMR2(l)

NAME

       CUNMR2  - overwrite the general complex m-by-n matrix C with  Q * C if SIDE = 'L' and TRANS = 'N', or  Q'* C if SIDE = 'L' and TRANS = 'C',
       or  C * Q if SIDE = 'R' and TRANS = 'N', or  C * Q' if SIDE = 'R' and TRANS = 'C',

SYNOPSIS

       SUBROUTINE CUNMR2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO )

	   CHARACTER	  SIDE, TRANS

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

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

PURPOSE

       CUNMR2 overwrites the general complex m-by-n matrix C with Q * C if SIDE = 'L' and TRANS = 'N', or Q'* C if SIDE = 'L' and TRANS = 'C',	or
       C * Q if SIDE = 'R' and TRANS = 'N', or C * Q' if SIDE = 'R' and TRANS = 'C', 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' from the Left
	       = 'R': apply Q or Q' from the Right

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

       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 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'*C or C*Q' or C*Q.

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

       WORK    (workspace) COMPLEX 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 							 CUNMR2(l)

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