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dorg2r examples
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Man Page Details
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NAME
       DORG2R - an m by n real matrix Q with orthonormal columns,

SYNOPSIS
       SUBROUTINE DORG2R( M, N, K, A, LDA, TAU, WORK, INFO )

           INTEGER        INFO, K, LDA, M, N

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

PURPOSE
       DORG2R  generates  an  m  by  n real matrix Q with orthonormal columns,
       which is defined as the first n columns of a product  of  k  elementary
       reflectors of order m

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

       as returned by DGEQRF.


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. M >= N >= 0.

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

       A       (input/output) DOUBLE PRECISION array, dimension (LDA,N)
               On entry, the i-th column must contain the vector which defines
               the  elementary  reflector H(i), for i = 1,2,...,k, as returned
               by DGEQRF in the first k columns 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 DGEQRF.

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

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

