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dorgl2 examples
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Man Page Details
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NAME
       DORGL2 - an m by n real matrix Q with orthonormal rows,

SYNOPSIS
       SUBROUTINE DORGL2( M, N, K, A, LDA, TAU, WORK, INFO )

           INTEGER        INFO, K, LDA, M, N

           DOUBLE         PRECISION A( LDA, * ), TAU( * ), WORK( * )

PURPOSE
       DORGL2  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 DGELQF.


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) DOUBLE PRECISION 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 DGELQF 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) DOUBLE PRECISION array, dimension (K)
               TAU(i) must contain the scalar factor of the elementary reflec-
               tor H(i), as returned by DGELQF.

       WORK    (workspace) DOUBLE PRECISION array, dimension (M)

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

