CUNG2R man page on Scientific

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CUNG2R(1)		 LAPACK routine (version 3.2)		     CUNG2R(1)

NAME
       CUNG2R - generates an m by n complex matrix Q with orthonormal columns,

SYNOPSIS
       SUBROUTINE CUNG2R( M, N, K, A, LDA, TAU, WORK, INFO )

	   INTEGER	  INFO, K, LDA, M, N

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

PURPOSE
       CUNG2R  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 reflecā€
	       tor H(i), as returned by CGEQRF.

       WORK    (workspace) COMPLEX array, dimension (N)

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

 LAPACK routine (version 3.2)	 November 2008			     CUNG2R(1)
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