zungr2(l) [redhat man page]

ZUNGR2(l)								 )								 ZUNGR2(l)

NAME

       ZUNGR2 - generate an m by n complex matrix Q with orthonormal rows,

SYNOPSIS

       SUBROUTINE ZUNGR2( M, N, K, A, LDA, TAU, WORK, INFO )

	   INTEGER	  INFO, K, LDA, M, N

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

PURPOSE

       ZUNGR2 generates an m by n complex matrix Q with orthonormal rows, which is defined as the last m rows of a product of k elementary reflec-
       tors of order n

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

       as returned by ZGERQF.

ARGUMENTS

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

       N       (input) INTEGER
	       The number of columns of the matrix Q. N >= M.

       K       (input) INTEGER
	       The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0.

       A       (input/output) COMPLEX*16 array, dimension (LDA,N)
	       On entry, the (m-k+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.  On exit, the m-by-n matrix Q.

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

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

       WORK    (workspace) COMPLEX*16 array, dimension (M)

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

LAPACK version 3.0						   15 June 2000 							 ZUNGR2(l)

zungr2.f(3)							      LAPACK							       zungr2.f(3)

NAME

       zungr2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zungr2 (M, N, K, A, LDA, TAU, WORK, INFO)
	   ZUNGR2 generates all or part of the unitary matrix Q from an RQ factorization determined by cgerqf (unblocked algorithm).

Function/Subroutine Documentation
   subroutine zungr2 (integerM, integerN, integerK, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( * )TAU, complex*16,
       dimension( * )WORK, integerINFO)
       ZUNGR2 generates all or part of the unitary matrix Q from an RQ factorization determined by cgerqf (unblocked algorithm).

       Purpose:

	    ZUNGR2 generates an m by n complex matrix Q with orthonormal rows,
	    which is defined as the last m rows of a product of k elementary
	    reflectors of order n

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

	    as returned by ZGERQF.

       Parameters:
	   M

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

	   N

		     N is INTEGER
		     The number of columns of the matrix Q. N >= M.

	   K

		     K is INTEGER
		     The number of elementary reflectors whose product defines the
		     matrix Q. M >= K >= 0.

	   A

		     A is COMPLEX*16 array, dimension (LDA,N)
		     On entry, the (m-k+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.
		     On exit, the m-by-n matrix Q.

	   LDA

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

	   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.

	   WORK

		     WORK is COMPLEX*16 array, dimension (M)

	   INFO

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

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 115 of file zungr2.f.

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

Version 3.4.2							  Tue Sep 25 2012						       zungr2.f(3)