--- rpl/lapack/lapack/zlaqr1.f 2010/12/21 13:53:51 1.7
+++ rpl/lapack/lapack/zlaqr1.f 2011/11/21 20:43:16 1.8
@@ -1,8 +1,116 @@
+*> \brief \b ZLAQR1
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZLAQR1 + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZLAQR1( N, H, LDH, S1, S2, V )
+*
+* .. Scalar Arguments ..
+* COMPLEX*16 S1, S2
+* INTEGER LDH, N
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 H( LDH, * ), V( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> Given a 2-by-2 or 3-by-3 matrix H, ZLAQR1 sets v to a
+*> scalar multiple of the first column of the product
+*>
+*> (*) K = (H - s1*I)*(H - s2*I)
+*>
+*> scaling to avoid overflows and most underflows.
+*>
+*> This is useful for starting double implicit shift bulges
+*> in the QR algorithm.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is integer
+*> Order of the matrix H. N must be either 2 or 3.
+*> \endverbatim
+*>
+*> \param[in] H
+*> \verbatim
+*> H is COMPLEX*16 array of dimension (LDH,N)
+*> The 2-by-2 or 3-by-3 matrix H in (*).
+*> \endverbatim
+*>
+*> \param[in] LDH
+*> \verbatim
+*> LDH is integer
+*> The leading dimension of H as declared in
+*> the calling procedure. LDH.GE.N
+*> \endverbatim
+*>
+*> \param[in] S1
+*> \verbatim
+*> S1 is COMPLEX*16
+*> \endverbatim
+*>
+*> \param[in] S2
+*> \verbatim
+*> S2 is COMPLEX*16
+*>
+*> S1 and S2 are the shifts defining K in (*) above.
+*> \endverbatim
+*>
+*> \param[out] V
+*> \verbatim
+*> V is COMPLEX*16 array of dimension N
+*> A scalar multiple of the first column of the
+*> matrix K in (*).
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup complex16OTHERauxiliary
+*
+*> \par Contributors:
+* ==================
+*>
+*> Karen Braman and Ralph Byers, Department of Mathematics,
+*> University of Kansas, USA
+*>
+* =====================================================================
SUBROUTINE ZLAQR1( N, H, LDH, S1, S2, V )
*
-* -- LAPACK auxiliary routine (version 3.2) --
-* Univ. of Tennessee, Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..
-* November 2006
+* -- LAPACK auxiliary routine (version 3.4.0) --
+* -- LAPACK is a software package provided by Univ. of Tennessee, --
+* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+* November 2011
*
* .. Scalar Arguments ..
COMPLEX*16 S1, S2
@@ -12,40 +120,7 @@
COMPLEX*16 H( LDH, * ), V( * )
* ..
*
-* Given a 2-by-2 or 3-by-3 matrix H, ZLAQR1 sets v to a
-* scalar multiple of the first column of the product
-*
-* (*) K = (H - s1*I)*(H - s2*I)
-*
-* scaling to avoid overflows and most underflows.
-*
-* This is useful for starting double implicit shift bulges
-* in the QR algorithm.
-*
-*
-* N (input) integer
-* Order of the matrix H. N must be either 2 or 3.
-*
-* H (input) COMPLEX*16 array of dimension (LDH,N)
-* The 2-by-2 or 3-by-3 matrix H in (*).
-*
-* LDH (input) integer
-* The leading dimension of H as declared in
-* the calling procedure. LDH.GE.N
-*
-* S1 (input) COMPLEX*16
-* S2 S1 and S2 are the shifts defining K in (*) above.
-*
-* V (output) COMPLEX*16 array of dimension N
-* A scalar multiple of the first column of the
-* matrix K in (*).
-*
-* ================================================================
-* Based on contributions by
-* Karen Braman and Ralph Byers, Department of Mathematics,
-* University of Kansas, USA
-*
-* ================================================================
+* ================================================================
*
* .. Parameters ..
COMPLEX*16 ZERO