Provided by: liblapack-doc_3.3.1-1_all bug

NAME

       LAPACK-3 - generates an M-by-N real matrix Q with orthonormal rows,

SYNOPSIS

       SUBROUTINE SORGLQ( M, N, K, A, LDA, TAU, WORK, LWORK, INFO )

           INTEGER        INFO, K, LDA, LWORK, M, N

           REAL           A( LDA, * ), TAU( * ), WORK( * )

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.

ARGUMENTS

        M       (input) INTEGER
                The number of rows of the matrix Q. M >= 0.

        N       (input) INTEGER
                The number of columns of the matrix Q. N >= M.

        K       (input) INTEGER
                The number of elementary reflectors whose product defines the
                matrix Q. M >= K >= 0.

        A       (input/output) 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     (input) INTEGER
                The first dimension of the array A. LDA >= max(1,M).

        TAU     (input) REAL array, dimension (K)
                TAU(i) must contain the scalar factor of the elementary
                reflector H(i), as returned by SGELQF.

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

        LWORK   (input) 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    (output) INTEGER
                = 0:  successful exit
                < 0:  if INFO = -i, the i-th argument has an illegal value

 LAPACK routine (version 3.3.1)             April 2011                            SORGLQ(3lapack)