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authorjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
committerjulie <julielangou@users.noreply.github.com>2011-10-06 06:53:11 +0000
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- SUBROUTINE ZGEQL2( M, N, A, LDA, TAU, WORK, INFO )
+*> \brief \b ZGEQL2
*
-* -- LAPACK routine (version 3.3.1) --
-* -- LAPACK is a software package provided by Univ. of Tennessee, --
-* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* -- April 2011 --
+* =========== DOCUMENTATION ===========
*
-* .. Scalar Arguments ..
- INTEGER INFO, LDA, M, N
-* ..
-* .. Array Arguments ..
- COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
-* ..
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
+* Definition
+* ==========
+*
+* SUBROUTINE ZGEQL2( M, N, A, LDA, TAU, WORK, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, LDA, M, N
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
+* ..
+*
* Purpose
* =======
*
-* ZGEQL2 computes a QL factorization of a complex m by n matrix A:
-* A = Q * L.
+*>\details \b Purpose:
+*>\verbatim
+*>
+*> ZGEQL2 computes a QL factorization of a complex m by n matrix A:
+*> A = Q * L.
+*>
+*>\endverbatim
*
* Arguments
* =========
*
-* M (input) INTEGER
-* The number of rows of the matrix A. M >= 0.
-*
-* N (input) INTEGER
-* The number of columns of the matrix A. N >= 0.
-*
-* A (input/output) COMPLEX*16 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).
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of rows of the matrix A. M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix A. N >= 0.
+*> \endverbatim
+*>
+*
+* Authors
+* =======
*
-* LDA (input) INTEGER
-* The leading dimension of the array A. LDA >= max(1,M).
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-* TAU (output) COMPLEX*16 array, dimension (min(M,N))
-* The scalar factors of the elementary reflectors (see Further
-* Details).
+*> \date November 2011
*
-* WORK (workspace) COMPLEX*16 array, dimension (N)
+*> \ingroup complex16GEcomputational
*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
*
* Further Details
* ===============
+*>\details \b Further \b Details
+*> \verbatim
+* (see Further Details).
+*>
+*> LDA (input) INTEGER
+*> The leading dimension of the array A. LDA >= max(1,M).
+*>
+*> TAU (output) COMPLEX*16 array, dimension (min(M,N))
+*> The scalar factors of the elementary reflectors (see Further
+*> Details).
+*>
+*> WORK (workspace) COMPLEX*16 array, dimension (N)
+*>
+*> INFO (output) INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*>
+*>
+*> 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).
+*>
+*> \endverbatim
+*>
+* =====================================================================
+ SUBROUTINE ZGEQL2( M, N, A, LDA, TAU, WORK, INFO )
*
-* 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
+* -- LAPACK computational routine (version 3.3.1) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
-* 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).
+* .. Scalar Arguments ..
+ INTEGER INFO, LDA, M, N
+* ..
+* .. Array Arguments ..
+ COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
+* ..
*
* =====================================================================
*