sorgr2(l) [redhat man page]

SORGR2(l)								 )								 SORGR2(l)

NAME

       SORGR2 - generate an m by n real matrix Q with orthonormal rows,

SYNOPSIS

       SUBROUTINE SORGR2( M, N, K, A, LDA, TAU, WORK, INFO )

	   INTEGER	  INFO, K, LDA, M, N

	   REAL 	  A( LDA, * ), TAU( * ), WORK( * )

PURPOSE

       SORGR2 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 SGERQF.

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

       WORK    (workspace) REAL 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 							 SORGR2(l)

sorgr2.f(3)							      LAPACK							       sorgr2.f(3)

NAME

       sorgr2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine sorgr2 (M, N, K, A, LDA, TAU, WORK, INFO)
	   SORGR2

Function/Subroutine Documentation
   subroutine sorgr2 (integerM, integerN, integerK, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK,
       integerINFO)
       SORGR2

       Purpose:

	    SORGR2 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 SGERQF.

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

	   WORK

		     WORK is REAL 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:
	   November 2011

       Definition at line 115 of file sorgr2.f.

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

Version 3.4.1							  Sun May 26 2013						       sorgr2.f(3)