dorgr2(l) [redhat man page]

DORGR2(l)								 )								 DORGR2(l)

NAME

       DORGR2 - generate an m by n real matrix Q with orthonormal rows,

SYNOPSIS

       SUBROUTINE DORGR2( M, N, K, A, LDA, TAU, WORK, INFO )

	   INTEGER	  INFO, K, LDA, M, N

	   DOUBLE	  PRECISION A( LDA, * ), TAU( * ), WORK( * )

PURPOSE

       DORGR2 generates an m by n real 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(2) . . . H(k)

       as returned by DGERQF.

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) DOUBLE PRECISION 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
	       DGERQF 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) DOUBLE PRECISION array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by DGERQF.

       WORK    (workspace) DOUBLE PRECISION 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 							 DORGR2(l)

dorgr2.f(3)							      LAPACK							       dorgr2.f(3)

NAME

       dorgr2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dorgr2 (M, N, K, A, LDA, TAU, WORK, INFO)
	   DORGR2 generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm).

Function/Subroutine Documentation
   subroutine dorgr2 (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU,
       double precision, dimension( * )WORK, integerINFO)
       DORGR2 generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm).

       Purpose:

	    DORGR2 generates an m by n real 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(2) . . . H(k)

	    as returned by DGERQF.

       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 DOUBLE PRECISION 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 DGERQF 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 DOUBLE PRECISION array, dimension (K)
		     TAU(i) must contain the scalar factor of the elementary
		     reflector H(i), as returned by DGERQF.

	   WORK

		     WORK is DOUBLE PRECISION 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 dorgr2.f.

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

Version 3.4.2							  Tue Sep 25 2012						       dorgr2.f(3)