dorg2r(l) [redhat man page]

DORG2R(l)								 )								 DORG2R(l)

NAME

       DORG2R - generate an m by n real matrix Q with orthonormal columns,

SYNOPSIS

       SUBROUTINE DORG2R( M, N, K, A, LDA, TAU, WORK, INFO )

	   INTEGER	  INFO, K, LDA, M, N

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

PURPOSE

       DORG2R  generates  an  m  by n real matrix Q with orthonormal columns, which is defined as the first n columns of a product of k elementary
       reflectors of order m

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

       as returned by DGEQRF.

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. M >= N >= 0.

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

       A       (input/output) DOUBLE PRECISION array, dimension (LDA,N)
	       On entry, the i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k,  as  returned	by
	       DGEQRF in the first k columns 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 DGEQRF.

       WORK    (workspace) DOUBLE PRECISION array, dimension (N)

       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 							 DORG2R(l)

dorg2r.f(3)							      LAPACK							       dorg2r.f(3)

NAME

       dorg2r.f -

SYNOPSIS

   Functions/Subroutines
       subroutine dorg2r (M, N, K, A, LDA, TAU, WORK, INFO)
	   DORG2R generates all or part of the orthogonal matrix Q from a QR factorization determined by sgeqrf (unblocked algorithm).

Function/Subroutine Documentation
   subroutine dorg2r (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU,
       double precision, dimension( * )WORK, integerINFO)
       DORG2R generates all or part of the orthogonal matrix Q from a QR factorization determined by sgeqrf (unblocked algorithm).

       Purpose:

	    DORG2R generates an m by n real matrix Q with orthonormal columns,
	    which is defined as the first n columns of a product of k elementary
	    reflectors of order m

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

	    as returned by DGEQRF.

       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. M >= N >= 0.

	   K

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

	   A

		     A is DOUBLE PRECISION array, dimension (LDA,N)
		     On entry, the i-th column must contain the vector which
		     defines the elementary reflector H(i), for i = 1,2,...,k, as
		     returned by DGEQRF in the first k columns 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 DGEQRF.

	   WORK

		     WORK is DOUBLE PRECISION array, dimension (N)

	   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 dorg2r.f.

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

Version 3.4.2							  Tue Sep 25 2012						       dorg2r.f(3)