--- rpl/lapack/lapack/zung2l.f 2010/01/26 15:22:45 1.1
+++ rpl/lapack/lapack/zung2l.f 2018/05/29 07:18:41 1.17
@@ -1,9 +1,123 @@
+*> \brief \b ZUNG2L generates all or part of the unitary matrix Q from a QL factorization determined by cgeqlf (unblocked algorithm).
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZUNG2L + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZUNG2L( M, N, K, A, LDA, TAU, WORK, INFO )
+*
+* .. Scalar Arguments ..
+* INTEGER INFO, K, LDA, M, N
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZUNG2L 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 ZGEQLF.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] M
+*> \verbatim
+*> M is INTEGER
+*> The number of rows of the matrix Q. M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of columns of the matrix Q. M >= N >= 0.
+*> \endverbatim
+*>
+*> \param[in] K
+*> \verbatim
+*> K is INTEGER
+*> The number of elementary reflectors whose product defines the
+*> matrix Q. N >= K >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] A
+*> \verbatim
+*> A is COMPLEX*16 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 ZGEQLF in the last k columns of its array
+*> argument A.
+*> On exit, the m-by-n matrix Q.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*> LDA is INTEGER
+*> The first dimension of the array A. LDA >= max(1,M).
+*> \endverbatim
+*>
+*> \param[in] TAU
+*> \verbatim
+*> TAU is COMPLEX*16 array, dimension (K)
+*> TAU(i) must contain the scalar factor of the elementary
+*> reflector H(i), as returned by ZGEQLF.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is COMPLEX*16 array, dimension (N)
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument has an illegal value
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date December 2016
+*
+*> \ingroup complex16OTHERcomputational
+*
+* =====================================================================
SUBROUTINE ZUNG2L( M, N, K, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK computational routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INFO, K, LDA, M, N
@@ -12,50 +126,6 @@
COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* ZUNG2L 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 ZGEQLF.
-*
-* 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*16 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 ZGEQLF 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*16 array, dimension (K)
-* TAU(i) must contain the scalar factor of the elementary
-* reflector H(i), as returned by ZGEQLF.
-*
-* WORK (workspace) COMPLEX*16 array, dimension (N)
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument has an illegal value
-*
* =====================================================================
*
* .. Parameters ..