cgeql2.f(3)			    LAPACK			   cgeql2.f(3)

NAME
       cgeql2.f -

SYNOPSIS
   Functions/Subroutines
       subroutine cgeql2 (M, N, A, LDA, TAU, WORK, INFO)
	   CGEQL2 computes the QL factorization of a general rectangular
	   matrix using an unblocked algorithm.

Function/Subroutine Documentation
   subroutine cgeql2 (integerM, integerN, complex, dimension( lda, * )A,
       integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK,
       integerINFO)
       CGEQL2 computes the QL factorization of a general rectangular matrix
       using an unblocked algorithm.

       Purpose:

	    CGEQL2 computes a QL factorization of a complex m by n matrix A:
	    A = Q * L.

       Parameters:
	   M

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

	   N

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

	   A

		     A is COMPLEX array, dimension (LDA,N)
		     On entry, the m by n matrix A.
		     On exit, if m >= n, the lower triangle of the subarray
		     A(m-n+1:m,1:n) contains the n by n lower triangular matrix L;
		     if m <= n, the elements on and below the (n-m)-th
		     superdiagonal contain the m by n lower trapezoidal matrix L;
		     the remaining elements, with the array TAU, represent the
		     unitary matrix Q as a product of elementary reflectors
		     (see Further Details).

	   LDA

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

	   TAU

		     TAU is COMPLEX array, dimension (min(M,N))
		     The scalar factors of the elementary reflectors (see Further
		     Details).

	   WORK

		     WORK is COMPLEX array, dimension (N)

	   INFO

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

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Further Details:

	     The matrix Q is represented as a product of elementary reflectors

		Q = H(k) . . . H(2) H(1), where k = min(m,n).

	     Each H(i) has the form

		H(i) = I - tau * v * v**H

	     where tau is a complex scalar, and v is a complex vector with
	     v(m-k+i+1:m) = 0 and v(m-k+i) = 1; v(1:m-k+i-1) is stored on exit in
	     A(1:m-k+i-1,n-k+i), and tau in TAU(i).

       Definition at line 124 of file cgeql2.f.

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

Version 3.4.2			Tue Sep 25 2012			   cgeql2.f(3)

Vote for polarhome