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 (integer M, integer N, integer K, double precision, dimension( lda, * ) A,
       integer LDA, double precision, dimension( * ) TAU, double precision, dimension( * ) WORK,
       integer INFO)
       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

Author

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