--- rpl/lapack/lapack/zgeqr2.f 2011/11/21 22:19:45 1.11
+++ rpl/lapack/lapack/zgeqr2.f 2020/05/21 21:46:04 1.20
@@ -1,40 +1,49 @@
-*> \brief \b ZGEQR2
+*> \brief \b ZGEQR2 computes the QR factorization of a general rectangular matrix using an unblocked algorithm.
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download ZGEQR2 + dependencies
-*>
-*> [TGZ]
-*>
-*> [ZIP]
-*>
+*> Download ZGEQR2 + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
*> [TXT]
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* SUBROUTINE ZGEQR2( M, N, A, LDA, TAU, WORK, INFO )
-*
+*
* .. Scalar Arguments ..
* INTEGER INFO, LDA, M, N
* ..
* .. Array Arguments ..
* COMPLEX*16 A( LDA, * ), TAU( * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
-*> ZGEQR2 computes a QR factorization of a complex m by n matrix A:
-*> A = Q * R.
+*> ZGEQR2 computes a QR factorization of a complex m-by-n matrix A:
+*>
+*> A = Q * ( R ),
+*> ( 0 )
+*>
+*> where:
+*>
+*> Q is a m-by-m orthogonal matrix;
+*> R is an upper-triangular n-by-n matrix;
+*> 0 is a (m-n)-by-n zero matrix, if m > n.
+*>
*> \endverbatim
*
* Arguments:
@@ -91,12 +100,12 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date November 2011
+*> \date November 2019
*
*> \ingroup complex16GEcomputational
*
@@ -121,10 +130,10 @@
* =====================================================================
SUBROUTINE ZGEQR2( M, N, A, LDA, TAU, WORK, INFO )
*
-* -- LAPACK computational routine (version 3.4.0) --
+* -- LAPACK computational routine (version 3.9.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2011
+* November 2019
*
* .. Scalar Arguments ..
INTEGER INFO, LDA, M, N