--- rpl/lapack/lapack/dtrexc.f 2010/12/21 13:53:41 1.7
+++ rpl/lapack/lapack/dtrexc.f 2011/11/21 20:43:06 1.8
@@ -1,10 +1,155 @@
+*> \brief \b DTREXC
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DTREXC + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DTREXC( COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, WORK,
+* INFO )
+*
+* .. Scalar Arguments ..
+* CHARACTER COMPQ
+* INTEGER IFST, ILST, INFO, LDQ, LDT, N
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION Q( LDQ, * ), T( LDT, * ), WORK( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DTREXC reorders the real Schur factorization of a real matrix
+*> A = Q*T*Q**T, so that the diagonal block of T with row index IFST is
+*> moved to row ILST.
+*>
+*> The real Schur form T is reordered by an orthogonal similarity
+*> transformation Z**T*T*Z, and optionally the matrix Q of Schur vectors
+*> is updated by postmultiplying it with Z.
+*>
+*> T must be in Schur canonical form (as returned by DHSEQR), that is,
+*> block upper triangular with 1-by-1 and 2-by-2 diagonal blocks; each
+*> 2-by-2 diagonal block has its diagonal elements equal and its
+*> off-diagonal elements of opposite sign.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] COMPQ
+*> \verbatim
+*> COMPQ is CHARACTER*1
+*> = 'V': update the matrix Q of Schur vectors;
+*> = 'N': do not update Q.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The order of the matrix T. N >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] T
+*> \verbatim
+*> T is DOUBLE PRECISION array, dimension (LDT,N)
+*> On entry, the upper quasi-triangular matrix T, in Schur
+*> Schur canonical form.
+*> On exit, the reordered upper quasi-triangular matrix, again
+*> in Schur canonical form.
+*> \endverbatim
+*>
+*> \param[in] LDT
+*> \verbatim
+*> LDT is INTEGER
+*> The leading dimension of the array T. LDT >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in,out] Q
+*> \verbatim
+*> Q is DOUBLE PRECISION array, dimension (LDQ,N)
+*> On entry, if COMPQ = 'V', the matrix Q of Schur vectors.
+*> On exit, if COMPQ = 'V', Q has been postmultiplied by the
+*> orthogonal transformation matrix Z which reorders T.
+*> If COMPQ = 'N', Q is not referenced.
+*> \endverbatim
+*>
+*> \param[in] LDQ
+*> \verbatim
+*> LDQ is INTEGER
+*> The leading dimension of the array Q. LDQ >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in,out] IFST
+*> \verbatim
+*> IFST is INTEGER
+*> \endverbatim
+*>
+*> \param[in,out] ILST
+*> \verbatim
+*> ILST is INTEGER
+*>
+*> Specify the reordering of the diagonal blocks of T.
+*> The block with row index IFST is moved to row ILST, by a
+*> sequence of transpositions between adjacent blocks.
+*> On exit, if IFST pointed on entry to the second row of a
+*> 2-by-2 block, it is changed to point to the first row; ILST
+*> always points to the first row of the block in its final
+*> position (which may differ from its input value by +1 or -1).
+*> 1 <= IFST <= N; 1 <= ILST <= N.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*> WORK is DOUBLE PRECISION array, dimension (N)
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*> INFO is INTEGER
+*> = 0: successful exit
+*> < 0: if INFO = -i, the i-th argument had an illegal value
+*> = 1: two adjacent blocks were too close to swap (the problem
+*> is very ill-conditioned); T may have been partially
+*> reordered, and ILST points to the first row of the
+*> current position of the block being moved.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date November 2011
+*
+*> \ingroup doubleOTHERcomputational
+*
+* =====================================================================
SUBROUTINE DTREXC( COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, WORK,
$ INFO )
*
-* -- LAPACK routine (version 3.2) --
+* -- LAPACK computational 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 2006
+* November 2011
*
* .. Scalar Arguments ..
CHARACTER COMPQ
@@ -14,71 +159,6 @@
DOUBLE PRECISION Q( LDQ, * ), T( LDT, * ), WORK( * )
* ..
*
-* Purpose
-* =======
-*
-* DTREXC reorders the real Schur factorization of a real matrix
-* A = Q*T*Q**T, so that the diagonal block of T with row index IFST is
-* moved to row ILST.
-*
-* The real Schur form T is reordered by an orthogonal similarity
-* transformation Z**T*T*Z, and optionally the matrix Q of Schur vectors
-* is updated by postmultiplying it with Z.
-*
-* T must be in Schur canonical form (as returned by DHSEQR), that is,
-* block upper triangular with 1-by-1 and 2-by-2 diagonal blocks; each
-* 2-by-2 diagonal block has its diagonal elements equal and its
-* off-diagonal elements of opposite sign.
-*
-* Arguments
-* =========
-*
-* COMPQ (input) CHARACTER*1
-* = 'V': update the matrix Q of Schur vectors;
-* = 'N': do not update Q.
-*
-* N (input) INTEGER
-* The order of the matrix T. N >= 0.
-*
-* T (input/output) DOUBLE PRECISION array, dimension (LDT,N)
-* On entry, the upper quasi-triangular matrix T, in Schur
-* Schur canonical form.
-* On exit, the reordered upper quasi-triangular matrix, again
-* in Schur canonical form.
-*
-* LDT (input) INTEGER
-* The leading dimension of the array T. LDT >= max(1,N).
-*
-* Q (input/output) DOUBLE PRECISION array, dimension (LDQ,N)
-* On entry, if COMPQ = 'V', the matrix Q of Schur vectors.
-* On exit, if COMPQ = 'V', Q has been postmultiplied by the
-* orthogonal transformation matrix Z which reorders T.
-* If COMPQ = 'N', Q is not referenced.
-*
-* LDQ (input) INTEGER
-* The leading dimension of the array Q. LDQ >= max(1,N).
-*
-* IFST (input/output) INTEGER
-* ILST (input/output) INTEGER
-* Specify the reordering of the diagonal blocks of T.
-* The block with row index IFST is moved to row ILST, by a
-* sequence of transpositions between adjacent blocks.
-* On exit, if IFST pointed on entry to the second row of a
-* 2-by-2 block, it is changed to point to the first row; ILST
-* always points to the first row of the block in its final
-* position (which may differ from its input value by +1 or -1).
-* 1 <= IFST <= N; 1 <= ILST <= N.
-*
-* WORK (workspace) DOUBLE PRECISION array, dimension (N)
-*
-* INFO (output) INTEGER
-* = 0: successful exit
-* < 0: if INFO = -i, the i-th argument had an illegal value
-* = 1: two adjacent blocks were too close to swap (the problem
-* is very ill-conditioned); T may have been partially
-* reordered, and ILST points to the first row of the
-* current position of the block being moved.
-*
* =====================================================================
*
* .. Parameters ..