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RedHat 9 (Linux i386) - man page for cungqr (redhat section l)

CUNGQR(l)					)					CUNGQR(l)

NAME
       CUNGQR - generate an M-by-N complex matrix Q with orthonormal columns,

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

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

	   COMPLEX	  A( LDA, * ), TAU( * ), WORK( * )

PURPOSE
       CUNGQR  generates an M-by-N complex 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 CGEQRF.

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) COMPLEX 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 CGEQRF 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) COMPLEX array, dimension (K)
	       TAU(i)  must  contain  the  scalar  factor  of  the  elementary reflector H(i), as
	       returned by CGEQRF.

       WORK    (workspace/output) COMPLEX 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.

	       If  LWORK = -1, then a workspace query is assumed; the routine only calculates the
	       optimal size of the WORK array, returns this value as the first entry of the  WORK
	       array, and no error message related to LWORK is issued by XERBLA.

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

LAPACK version 3.0			   15 June 2000 				CUNGQR(l)


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