cung2l(l) [redhat man page]

CUNG2L(l)								 )								 CUNG2L(l)

NAME

       CUNG2L - generate an m by n complex matrix Q with orthonormal columns,

SYNOPSIS

       SUBROUTINE CUNG2L( M, N, K, A, LDA, TAU, WORK, INFO )

	   INTEGER	  INFO, K, LDA, M, N

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

PURPOSE

       CUNG2L  generates  an m by n complex 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 CGEQLF.

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 (n-k+i)-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned
	       by CGEQLF 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) COMPLEX array, dimension (K)
	       TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CGEQLF.

       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 version 3.0						   15 June 2000 							 CUNG2L(l)

cung2l.f(3)							      LAPACK							       cung2l.f(3)

NAME

       cung2l.f -

SYNOPSIS

   Functions/Subroutines
       subroutine cung2l (M, N, K, A, LDA, TAU, WORK, INFO)
	   CUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (unblocked algorithm).

Function/Subroutine Documentation
   subroutine cung2l (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( *
       )WORK, integerINFO)
       CUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (unblocked algorithm).

       Purpose:

	    CUNG2L generates an m by n complex 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 CGEQLF.

       Parameters:
	   M

		     M is INTEGER
		     The number of rows of the matrix Q. M >= 0.

	   N

		     N is INTEGER
		     The number of columns of the matrix Q. M >= N >= 0.

	   K

		     K is INTEGER
		     The number of elementary reflectors whose product defines the
		     matrix Q. N >= K >= 0.

	   A

		     A is COMPLEX 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 CGEQLF in the last k columns of its array
		     argument A.
		     On exit, the m-by-n matrix Q.

	   LDA

		     LDA is INTEGER
		     The first dimension of the array A. LDA >= max(1,M).

	   TAU

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

	   WORK

		     WORK is COMPLEX array, dimension (N)

	   INFO

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

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 115 of file cung2l.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.2							  Tue Sep 25 2012						       cung2l.f(3)