DORGQR man page on IRIX

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DORGQR(3F)							    DORGQR(3F)

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

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

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

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

PURPOSE
     DORGQR 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/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.

									Page 1

DORGQR(3F)							    DORGQR(3F)

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

									Page 2

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