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CentOS 7.0 - man page for zgelq2 (centos section 3)

zgelq2.f(3)				      LAPACK				      zgelq2.f(3)

NAME
       zgelq2.f -

SYNOPSIS
   Functions/Subroutines
       subroutine zgelq2 (M, N, A, LDA, TAU, WORK, INFO)
	   ZGELQ2 computes the LQ factorization of a general rectangular matrix using an
	   unblocked algorithm.

Function/Subroutine Documentation
   subroutine zgelq2 (integerM, integerN, complex*16, dimension( lda, * )A, integerLDA,
       complex*16, dimension( * )TAU, complex*16, dimension( * )WORK, integerINFO)
       ZGELQ2 computes the LQ factorization of a general rectangular matrix using an unblocked
       algorithm.

       Purpose:

	    ZGELQ2 computes an LQ factorization of a complex m by n matrix A:
	    A = L * Q.

       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*16 array, dimension (LDA,N)
		     On entry, the m by n matrix A.
		     On exit, the elements on and below the diagonal of the array
		     contain the m by min(m,n) lower trapezoidal matrix L (L is
		     lower triangular if m <= n); the elements above the diagonal,
		     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*16 array, dimension (min(M,N))
		     The scalar factors of the elementary reflectors (see Further
		     Details).

	   WORK

		     WORK is COMPLEX*16 array, dimension (M)

	   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 . . . H(2)**H H(1)**H, 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(1:i-1) = 0 and v(i) = 1; conjg(v(i+1:n)) is stored on exit in
	     A(i,i+1:n), and tau in TAU(i).

       Definition at line 122 of file zgelq2.f.

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

Version 3.4.2				 Tue Sep 25 2012			      zgelq2.f(3)


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