--- rpl/lapack/lapack/zlahqr.f	2012/08/22 09:48:35	1.10
+++ rpl/lapack/lapack/zlahqr.f	2017/06/17 10:54:19	1.16
@@ -1,26 +1,26 @@
-*> \brief \b ZLAHQR
+*> \brief \b ZLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix, using the double-shift/single-shift QR 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 ZLAHQR + dependencies 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlahqr.f"> 
-*> [TGZ]</a> 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlahqr.f"> 
-*> [ZIP]</a> 
-*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlahqr.f"> 
+*> Download ZLAHQR + dependencies
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlahqr.f">
+*> [TGZ]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlahqr.f">
+*> [ZIP]</a>
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlahqr.f">
 *> [TXT]</a>
-*> \endhtmlonly 
+*> \endhtmlonly
 *
 *  Definition:
 *  ===========
 *
 *       SUBROUTINE ZLAHQR( WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ,
 *                          IHIZ, Z, LDZ, INFO )
-* 
+*
 *       .. Scalar Arguments ..
 *       INTEGER            IHI, IHIZ, ILO, ILOZ, INFO, LDH, LDZ, N
 *       LOGICAL            WANTT, WANTZ
@@ -28,7 +28,7 @@
 *       .. Array Arguments ..
 *       COMPLEX*16         H( LDH, * ), W( * ), Z( LDZ, * )
 *       ..
-*  
+*
 *
 *> \par Purpose:
 *  =============
@@ -166,12 +166,12 @@
 *  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 December 2016
 *
 *> \ingroup complex16OTHERauxiliary
 *
@@ -195,10 +195,10 @@
       SUBROUTINE ZLAHQR( WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ,
      $                   IHIZ, Z, LDZ, INFO )
 *
-*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK auxiliary 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 2011
+*     December 2016
 *
 *     .. Scalar Arguments ..
       INTEGER            IHI, IHIZ, ILO, ILOZ, INFO, LDH, LDZ, N
@@ -211,8 +211,6 @@
 *  =========================================================
 *
 *     .. Parameters ..
-      INTEGER            ITMAX
-      PARAMETER          ( ITMAX = 30 )
       COMPLEX*16         ZERO, ONE
       PARAMETER          ( ZERO = ( 0.0d0, 0.0d0 ),
      $                   ONE = ( 1.0d0, 0.0d0 ) )
@@ -226,7 +224,8 @@
      $                   V2, X, Y
       DOUBLE PRECISION   AA, AB, BA, BB, H10, H21, RTEMP, S, SAFMAX,
      $                   SAFMIN, SMLNUM, SX, T2, TST, ULP
-      INTEGER            I, I1, I2, ITS, J, JHI, JLO, K, L, M, NH, NZ
+      INTEGER            I, I1, I2, ITS, ITMAX, J, JHI, JLO, K, L, M,
+     $                   NH, NZ
 *     ..
 *     .. Local Arrays ..
       COMPLEX*16         V( 2 )
@@ -312,6 +311,10 @@
          I2 = N
       END IF
 *
+*     ITMAX is the total number of QR iterations allowed.
+*
+      ITMAX = 30 * MAX( 10, NH )
+*
 *     The main loop begins here. I is the loop index and decreases from
 *     IHI to ILO in steps of 1. Each iteration of the loop works
 *     with the active submatrix in rows and columns L to I.