--- rpl/lapack/lapack/dtgex2.f	2010/04/21 13:45:26	1.2
+++ rpl/lapack/lapack/dtgex2.f	2011/07/22 07:38:12	1.9
@@ -1,10 +1,10 @@
       SUBROUTINE DTGEX2( WANTQ, WANTZ, N, A, LDA, B, LDB, Q, LDQ, Z,
      $                   LDZ, J1, N1, N2, WORK, LWORK, INFO )
 *
-*  -- LAPACK auxiliary routine (version 3.2) --
+*  -- LAPACK auxiliary 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 2006
+*  -- April 2011                                                      --
 *
 *     .. Scalar Arguments ..
       LOGICAL            WANTQ, WANTZ
@@ -29,8 +29,8 @@
 *  Optionally, the matrices Q and Z of generalized Schur vectors are
 *  updated.
 *
-*         Q(in) * A(in) * Z(in)' = Q(out) * A(out) * Z(out)'
-*         Q(in) * B(in) * Z(in)' = Q(out) * B(out) * Z(out)'
+*         Q(in) * A(in) * Z(in)**T = Q(out) * A(out) * Z(out)**T
+*         Q(in) * B(in) * Z(in)**T = Q(out) * B(out) * Z(out)**T
 *
 *
 *  Arguments
@@ -47,21 +47,21 @@
 *  N       (input) INTEGER
 *          The order of the matrices A and B. N >= 0.
 *
-*  A      (input/output) DOUBLE PRECISION arrays, dimensions (LDA,N)
+*  A       (input/output) DOUBLE PRECISION array, dimensions (LDA,N)
 *          On entry, the matrix A in the pair (A, B).
 *          On exit, the updated matrix A.
 *
-*  LDA     (input)  INTEGER
+*  LDA     (input) INTEGER
 *          The leading dimension of the array A. LDA >= max(1,N).
 *
-*  B      (input/output) DOUBLE PRECISION arrays, dimensions (LDB,N)
+*  B       (input/output) DOUBLE PRECISION array, dimensions (LDB,N)
 *          On entry, the matrix B in the pair (A, B).
 *          On exit, the updated matrix B.
 *
-*  LDB     (input)  INTEGER
+*  LDB     (input) INTEGER
 *          The leading dimension of the array B. LDB >= max(1,N).
 *
-*  Q       (input/output) DOUBLE PRECISION array, dimension (LDZ,N)
+*  Q       (input/output) DOUBLE PRECISION array, dimension (LDQ,N)
 *          On entry, if WANTQ = .TRUE., the orthogonal matrix Q.
 *          On exit, the updated matrix Q.
 *          Not referenced if WANTQ = .FALSE..
@@ -134,8 +134,8 @@
 *     .. Parameters ..
       DOUBLE PRECISION   ZERO, ONE
       PARAMETER          ( ZERO = 0.0D+0, ONE = 1.0D+0 )
-      DOUBLE PRECISION   TEN
-      PARAMETER          ( TEN = 1.0D+01 )
+      DOUBLE PRECISION   TWENTY
+      PARAMETER          ( TWENTY = 2.0D+01 )
       INTEGER            LDST
       PARAMETER          ( LDST = 4 )
       LOGICAL            WANDS
@@ -205,7 +205,16 @@
       CALL DLACPY( 'Full', M, M, T, LDST, WORK, M )
       CALL DLASSQ( M*M, WORK, 1, DSCALE, DSUM )
       DNORM = DSCALE*SQRT( DSUM )
-      THRESH = MAX( TEN*EPS*DNORM, SMLNUM )
+*
+*     THRES has been changed from 
+*        THRESH = MAX( TEN*EPS*SA, SMLNUM )
+*     to
+*        THRESH = MAX( TWENTY*EPS*SA, SMLNUM )
+*     on 04/01/10.
+*     "Bug" reported by Ondra Kamenik, confirmed by Julie Langou, fixed by
+*     Jim Demmel and Guillaume Revy. See forum post 1783.
+*
+      THRESH = MAX( TWENTY*EPS*DNORM, SMLNUM )
 *
       IF( M.EQ.2 ) THEN
 *
@@ -250,7 +259,7 @@
          IF( WANDS ) THEN
 *
 *           Strong stability test:
-*             F-norm((A-QL'*S*QR, B-QL'*T*QR)) <= O(EPS*F-norm((A,B)))
+*             F-norm((A-QL**T*S*QR, B-QL**T*T*QR)) <= O(EPS*F-norm((A,B)))
 *
             CALL DLACPY( 'Full', M, M, A( J1, J1 ), LDA, WORK( M*M+1 ),
      $                   M )
@@ -325,8 +334,8 @@
 *
 *        Compute orthogonal matrix QL:
 *
-*                    QL' * LI = [ TL ]
-*                               [ 0  ]
+*                    QL**T * LI = [ TL ]
+*                                 [ 0  ]
 *        where
 *                    LI =  [      -L              ]
 *                          [ SCALE * identity(N2) ]
@@ -344,7 +353,7 @@
 *
 *        Compute orthogonal matrix RQ:
 *
-*                    IR * RQ' =   [ 0  TR],
+*                    IR * RQ**T =   [ 0  TR],
 *
 *         where IR = [ SCALE * identity(N1), R ]
 *
@@ -439,7 +448,7 @@
          IF( WANDS ) THEN
 *
 *           Strong stability test:
-*              F-norm((A-QL*S*QR', B-QL*T*QR')) <= O(EPS*F-norm((A,B)))
+*              F-norm((A-QL*S*QR**T, B-QL*T*QR**T)) <= O(EPS*F-norm((A,B)))
 *
             CALL DLACPY( 'Full', M, M, A( J1, J1 ), LDA, WORK( M*M+1 ),
      $                   M )