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/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/sorgr2.f(3) Library Functions Manual /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/sorgr2.f(3)

NAME

/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/sorgr2.f

SYNOPSIS

Functions/Subroutines


subroutine SORGR2 (m, n, k, a, lda, tau, work, info)
SORGR2 generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm).

Function/Subroutine Documentation

subroutine SORGR2 (integer m, integer n, integer k, real, dimension( lda, * ) a, integer lda, real, dimension( * ) tau, real, dimension( * ) work, integer info)

SORGR2 generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm).

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.

Definition at line 113 of file sorgr2.f.

Author

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Version 3.12.0 LAPACK