SRC/sorgr2.f(3)            Library Functions Manual            SRC/sorgr2.f(3)

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

LAPACK                          Version 3.12.0                 SRC/sorgr2.f(3)