--- rpl/lapack/lapack/ztzrzf.f	2011/07/22 07:38:21	1.8
+++ rpl/lapack/lapack/ztzrzf.f	2011/11/21 20:43:23	1.9
@@ -1,10 +1,169 @@
+*> \brief \b ZTZRZF
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ZTZRZF + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztzrzf.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztzrzf.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztzrzf.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZTZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
+* 
+*       .. Scalar Arguments ..
+*       INTEGER            INFO, LDA, LWORK, M, N
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX*16         A( LDA, * ), TAU( * ), WORK( * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZTZRZF reduces the M-by-N ( M<=N ) complex upper trapezoidal matrix A
+*> to upper triangular form by means of unitary transformations.
+*>
+*> The upper trapezoidal matrix A is factored as
+*>
+*>    A = ( R  0 ) * Z,
+*>
+*> where Z is an N-by-N unitary matrix and R is an M-by-M upper
+*> triangular matrix.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] M
+*> \verbatim
+*>          M is INTEGER
+*>          The number of rows of the matrix A.  M >= 0.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The number of columns of the matrix A.  N >= M.
+*> \endverbatim
+*>
+*> \param[in,out] A
+*> \verbatim
+*>          A is COMPLEX*16 array, dimension (LDA,N)
+*>          On entry, the leading M-by-N upper trapezoidal part of the
+*>          array A must contain the matrix to be factorized.
+*>          On exit, the leading M-by-M upper triangular part of A
+*>          contains the upper triangular matrix R, and elements M+1 to
+*>          N of the first M rows of A, with the array TAU, represent the
+*>          unitary matrix Z as a product of M elementary reflectors.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*>          LDA is INTEGER
+*>          The leading dimension of the array A.  LDA >= max(1,M).
+*> \endverbatim
+*>
+*> \param[out] TAU
+*> \verbatim
+*>          TAU is COMPLEX*16 array, dimension (M)
+*>          The scalar factors of the elementary reflectors.
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*>          WORK is COMPLEX*16 array, dimension (MAX(1,LWORK))
+*>          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
+*> \endverbatim
+*>
+*> \param[in] LWORK
+*> \verbatim
+*>          LWORK is INTEGER
+*>          The dimension of the array WORK.  LWORK >= max(1,M).
+*>          For optimum performance LWORK >= M*NB, where NB is
+*>          the optimal blocksize.
+*>
+*>          If LWORK = -1, then a workspace query is assumed; the routine
+*>          only calculates the optimal size of the WORK array, returns
+*>          this value as the first entry of the WORK array, and no error
+*>          message related to LWORK is issued by XERBLA.
+*> \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
+*
+*> \par Contributors:
+*  ==================
+*>
+*>    A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>  The factorization is obtained by Householder's method.  The kth
+*>  transformation matrix, Z( k ), which is used to introduce zeros into
+*>  the ( m - k + 1 )th row of A, is given in the form
+*>
+*>     Z( k ) = ( I     0   ),
+*>              ( 0  T( k ) )
+*>
+*>  where
+*>
+*>     T( k ) = I - tau*u( k )*u( k )**H,   u( k ) = (   1    ),
+*>                                                 (   0    )
+*>                                                 ( z( k ) )
+*>
+*>  tau is a scalar and z( k ) is an ( n - m ) element vector.
+*>  tau and z( k ) are chosen to annihilate the elements of the kth row
+*>  of X.
+*>
+*>  The scalar tau is returned in the kth element of TAU and the vector
+*>  u( k ) in the kth row of A, such that the elements of z( k ) are
+*>  in  a( k, m + 1 ), ..., a( k, n ). The elements of R are returned in
+*>  the upper triangular part of A.
+*>
+*>  Z is given by
+*>
+*>     Z =  Z( 1 ) * Z( 2 ) * ... * Z( m ).
+*> \endverbatim
+*>
+*  =====================================================================
       SUBROUTINE ZTZRZF( M, N, A, LDA, TAU, WORK, LWORK, INFO )
 *
-*  -- LAPACK routine (version 3.3.1) --
+*  -- 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..--
-*  -- April 2011                                                      --
-* @precisions normal z -> s d c
+*     November 2011
 *
 *     .. Scalar Arguments ..
       INTEGER            INFO, LDA, LWORK, M, N
@@ -13,91 +172,6 @@
       COMPLEX*16         A( LDA, * ), TAU( * ), WORK( * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  ZTZRZF reduces the M-by-N ( M<=N ) complex upper trapezoidal matrix A
-*  to upper triangular form by means of unitary transformations.
-*
-*  The upper trapezoidal matrix A is factored as
-*
-*     A = ( R  0 ) * Z,
-*
-*  where Z is an N-by-N unitary matrix and R is an M-by-M upper
-*  triangular matrix.
-*
-*  Arguments
-*  =========
-*
-*  M       (input) INTEGER
-*          The number of rows of the matrix A.  M >= 0.
-*
-*  N       (input) INTEGER
-*          The number of columns of the matrix A.  N >= M.
-*
-*  A       (input/output) COMPLEX*16 array, dimension (LDA,N)
-*          On entry, the leading M-by-N upper trapezoidal part of the
-*          array A must contain the matrix to be factorized.
-*          On exit, the leading M-by-M upper triangular part of A
-*          contains the upper triangular matrix R, and elements M+1 to
-*          N of the first M rows of A, with the array TAU, represent the
-*          unitary matrix Z as a product of M elementary reflectors.
-*
-*  LDA     (input) INTEGER
-*          The leading dimension of the array A.  LDA >= max(1,M).
-*
-*  TAU     (output) COMPLEX*16 array, dimension (M)
-*          The scalar factors of the elementary reflectors.
-*
-*  WORK    (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK))
-*          On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
-*
-*  LWORK   (input) INTEGER
-*          The dimension of the array WORK.  LWORK >= max(1,M).
-*          For optimum performance LWORK >= M*NB, where NB is
-*          the optimal blocksize.
-*
-*          If LWORK = -1, then a workspace query is assumed; the routine
-*          only calculates the optimal size of the WORK array, returns
-*          this value as the first entry of the WORK array, and no error
-*          message related to LWORK is issued by XERBLA.
-*
-*  INFO    (output) INTEGER
-*          = 0:  successful exit
-*          < 0:  if INFO = -i, the i-th argument had an illegal value
-*
-*  Further Details
-*  ===============
-*
-*  Based on contributions by
-*    A. Petitet, Computer Science Dept., Univ. of Tenn., Knoxville, USA
-*
-*  The factorization is obtained by Householder's method.  The kth
-*  transformation matrix, Z( k ), which is used to introduce zeros into
-*  the ( m - k + 1 )th row of A, is given in the form
-*
-*     Z( k ) = ( I     0   ),
-*              ( 0  T( k ) )
-*
-*  where
-*
-*     T( k ) = I - tau*u( k )*u( k )**H,   u( k ) = (   1    ),
-*                                                 (   0    )
-*                                                 ( z( k ) )
-*
-*  tau is a scalar and z( k ) is an ( n - m ) element vector.
-*  tau and z( k ) are chosen to annihilate the elements of the kth row
-*  of X.
-*
-*  The scalar tau is returned in the kth element of TAU and the vector
-*  u( k ) in the kth row of A, such that the elements of z( k ) are
-*  in  a( k, m + 1 ), ..., a( k, n ). The elements of R are returned in
-*  the upper triangular part of A.
-*
-*  Z is given by
-*
-*     Z =  Z( 1 ) * Z( 2 ) * ... * Z( m ).
-*
 *  =====================================================================
 *
 *     .. Parameters ..