dorgql(3F)

NAME
     DORGQL - generate an M-by-N real matrix Q with orthonormal columns,

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

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

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

PURPOSE
     DORGQL 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 DGEQLF.


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 (n-k+i)-th column must contain the vector which
             defines the elementary reflector H(i), for i = 1,2,...,k, as
             returned by DGEQLF in the last 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 reflector
             H(i), as returned by DGEQLF.

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

     LWORK   (input) INTEGER
             The dimension of the array WORK. LWORK >= max(1,N).  For optimum
             performance LWORK >= N*NB, where NB is the optimal blocksize.
     INFO    (output) INTEGER
             = 0:  successful exit
             < 0:  if INFO = -i, the i-th argument has an illegal value