--- rpl/lapack/lapack/ztrexc.f 2010/12/21 13:53:57 1.7 +++ rpl/lapack/lapack/ztrexc.f 2011/11/21 20:43:23 1.8 @@ -1,9 +1,133 @@ +*> \brief \b ZTREXC +* +* =========== DOCUMENTATION =========== +* +* Online html documentation available at +* http://www.netlib.org/lapack/explore-html/ +* +*> \htmlonly +*> Download ZTREXC + dependencies +*> +*> [TGZ] +*> +*> [ZIP] +*> +*> [TXT] +*> \endhtmlonly +* +* Definition: +* =========== +* +* SUBROUTINE ZTREXC( COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, INFO ) +* +* .. Scalar Arguments .. +* CHARACTER COMPQ +* INTEGER IFST, ILST, INFO, LDQ, LDT, N +* .. +* .. Array Arguments .. +* COMPLEX*16 Q( LDQ, * ), T( LDT, * ) +* .. +* +* +*> \par Purpose: +* ============= +*> +*> \verbatim +*> +*> ZTREXC reorders the Schur factorization of a complex matrix +*> A = Q*T*Q**H, so that the diagonal element of T with row index IFST +*> is moved to row ILST. +*> +*> The Schur form T is reordered by a unitary similarity transformation +*> Z**H*T*Z, and optionally the matrix Q of Schur vectors is updated by +*> postmultplying it with Z. +*> \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 COMPLEX*16 array, dimension (LDT,N) +*> On entry, the upper triangular matrix T. +*> On exit, the reordered upper triangular matrix. +*> \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 COMPLEX*16 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 +*> unitary 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] IFST +*> \verbatim +*> IFST is INTEGER +*> \endverbatim +*> +*> \param[in] ILST +*> \verbatim +*> ILST is INTEGER +*> +*> Specify the reordering of the diagonal elements of T: +*> The element with row index IFST is moved to row ILST by a +*> sequence of transpositions between adjacent elements. +*> 1 <= IFST <= N; 1 <= ILST <= N. +*> \endverbatim +*> +*> \param[out] INFO +*> \verbatim +*> INFO is INTEGER +*> = 0: successful exit +*> < 0: if INFO = -i, the i-th argument had an illegal value +*> \endverbatim +* +* Authors: +* ======== +* +*> \author Univ. of Tennessee +*> \author Univ. of California Berkeley +*> \author Univ. of Colorado Denver +*> \author NAG Ltd. +* +*> \date November 2011 +* +*> \ingroup complex16OTHERcomputational +* +* ===================================================================== SUBROUTINE ZTREXC( COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, 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 @@ -13,54 +137,6 @@ COMPLEX*16 Q( LDQ, * ), T( LDT, * ) * .. * -* Purpose -* ======= -* -* ZTREXC reorders the Schur factorization of a complex matrix -* A = Q*T*Q**H, so that the diagonal element of T with row index IFST -* is moved to row ILST. -* -* The Schur form T is reordered by a unitary similarity transformation -* Z**H*T*Z, and optionally the matrix Q of Schur vectors is updated by -* postmultplying it with Z. -* -* 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) COMPLEX*16 array, dimension (LDT,N) -* On entry, the upper triangular matrix T. -* On exit, the reordered upper triangular matrix. -* -* LDT (input) INTEGER -* The leading dimension of the array T. LDT >= max(1,N). -* -* Q (input/output) COMPLEX*16 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 -* unitary 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) INTEGER -* ILST (input) INTEGER -* Specify the reordering of the diagonal elements of T: -* The element with row index IFST is moved to row ILST by a -* sequence of transpositions between adjacent elements. -* 1 <= IFST <= N; 1 <= ILST <= N. -* -* INFO (output) INTEGER -* = 0: successful exit -* < 0: if INFO = -i, the i-th argument had an illegal value -* * ===================================================================== * * .. Local Scalars ..