NAME

       sorglq.f -

SYNOPSIS

   Functions/Subroutines
       subroutine sorglq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
           SORGLQ

Function/Subroutine Documentation

   subroutine sorglq (integer M, integer N, integer K, real, dimension( lda, * ) A, integer LDA,
       real, dimension( * ) TAU, real, dimension( * ) WORK, integer LWORK, integer INFO)
       SORGLQ

       Purpose:

            SORGLQ generates an M-by-N real matrix Q with orthonormal rows,
            which is defined as the first M rows of a product of K elementary
            reflectors of order N

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

            as returned by SGELQF.

       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 i-th row must contain the vector which defines
                     the elementary reflector H(i), for i = 1,2,...,k, as returned
                     by SGELQF in the first 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 SGELQF.

           WORK

                     WORK is REAL array, dimension (MAX(1,LWORK))
                     On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

           LWORK

                     LWORK is INTEGER
                     The dimension of the array WORK. LWORK >= max(1,M).
                     For optimum performance LWORK >= M*NB, where NB is
                     the optimal blocksize.

                     If LWORK = -1, then a workspace query is assumed; the routine
                     only calculates the optimal size of the WORK array, returns
                     this value as the first entry of the WORK array, and no error
                     message related to LWORK is issued by XERBLA.

           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

Author

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