NAME

       sorg2l.f -

SYNOPSIS

   Functions/Subroutines
       subroutine sorg2l (M, N, K, A, LDA, TAU, WORK, INFO)
           SORG2L generates all or part of the orthogonal matrix Q from a QL factorization
           determined by sgeqlf (unblocked algorithm).

Function/Subroutine Documentation

   subroutine sorg2l (integer M, integer N, integer K, real, dimension( lda, * ) A, integer LDA,
       real, dimension( * ) TAU, real, dimension( * ) WORK, integer INFO)
       SORG2L generates all or part of the orthogonal matrix Q from a QL factorization determined
       by sgeqlf (unblocked algorithm).

       Purpose:

            SORG2L generates an m by n real matrix Q with orthonormal columns,
            which is defined as the last n columns of a product of k elementary
            reflectors of order m

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

            as returned by SGEQLF.

       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. M >= N >= 0.

           K

                     K is INTEGER
                     The number of elementary reflectors whose product defines the
                     matrix Q. N >= K >= 0.

           A

                     A is REAL array, dimension (LDA,N)
                     On entry, the (n-k+i)-th column must contain the vector which
                     defines the elementary reflector H(i), for i = 1,2,...,k, as
                     returned by SGEQLF in the last k columns 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 SGEQLF.

           WORK

                     WORK is REAL array, dimension (N)

           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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