DORG2R(3)

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 reflector 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