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cungrq.f(3)				      LAPACK				      cungrq.f(3)

NAME
       cungrq.f -

SYNOPSIS
   Functions/Subroutines
       subroutine cungrq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
	   CUNGRQ

Function/Subroutine Documentation
   subroutine cungrq (integerM, integerN, integerK, complex, dimension( lda, * )A, integerLDA,
       complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)
       CUNGRQ

       Purpose:

	    CUNGRQ generates an M-by-N complex matrix Q with orthonormal rows,
	    which is defined as the last M rows of a product of K elementary
	    reflectors of order N

		  Q  =	H(1)**H H(2)**H . . . H(k)**H

	    as returned by CGERQF.

       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. N >= M.

	   K

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

	   A

		     A is COMPLEX array, dimension (LDA,N)
		     On entry, the (m-k+i)-th row must contain the vector which
		     defines the elementary reflector H(i), for i = 1,2,...,k, as
		     returned by CGERQF in the last k rows 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 CGERQF.

	   WORK

		     WORK is COMPLEX array, dimension (MAX(1,LWORK))
		     On exit, if INFO = 0, WORK(1) returns the optimal LWORK.

	   LWORK

		     LWORK is INTEGER
		     The dimension of the array WORK. LWORK >= max(1,M).
		     For optimum performance LWORK >= M*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

		     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:
	   November 2011

       Definition at line 129 of file cungrq.f.

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

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