--- rpl/lapack/lapack/ztprfs.f	2010/12/21 13:53:57	1.7
+++ rpl/lapack/lapack/ztprfs.f	2011/11/21 20:43:22	1.8
@@ -1,12 +1,183 @@
+*> \brief \b ZTPRFS
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ZTPRFS + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/ztprfs.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/ztprfs.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/ztprfs.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZTPRFS( UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX,
+*                          FERR, BERR, WORK, RWORK, INFO )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          DIAG, TRANS, UPLO
+*       INTEGER            INFO, LDB, LDX, N, NRHS
+*       ..
+*       .. Array Arguments ..
+*       DOUBLE PRECISION   BERR( * ), FERR( * ), RWORK( * )
+*       COMPLEX*16         AP( * ), B( LDB, * ), WORK( * ), X( LDX, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZTPRFS provides error bounds and backward error estimates for the
+*> solution to a system of linear equations with a triangular packed
+*> coefficient matrix.
+*>
+*> The solution matrix X must be computed by ZTPTRS or some other
+*> means before entering this routine.  ZTPRFS does not do iterative
+*> refinement because doing so cannot improve the backward error.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*>          UPLO is CHARACTER*1
+*>          = 'U':  A is upper triangular;
+*>          = 'L':  A is lower triangular.
+*> \endverbatim
+*>
+*> \param[in] TRANS
+*> \verbatim
+*>          TRANS is CHARACTER*1
+*>          Specifies the form of the system of equations:
+*>          = 'N':  A * X = B     (No transpose)
+*>          = 'T':  A**T * X = B  (Transpose)
+*>          = 'C':  A**H * X = B  (Conjugate transpose)
+*> \endverbatim
+*>
+*> \param[in] DIAG
+*> \verbatim
+*>          DIAG is CHARACTER*1
+*>          = 'N':  A is non-unit triangular;
+*>          = 'U':  A is unit triangular.
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The order of the matrix A.  N >= 0.
+*> \endverbatim
+*>
+*> \param[in] NRHS
+*> \verbatim
+*>          NRHS is INTEGER
+*>          The number of right hand sides, i.e., the number of columns
+*>          of the matrices B and X.  NRHS >= 0.
+*> \endverbatim
+*>
+*> \param[in] AP
+*> \verbatim
+*>          AP is COMPLEX*16 array, dimension (N*(N+1)/2)
+*>          The upper or lower triangular matrix A, packed columnwise in
+*>          a linear array.  The j-th column of A is stored in the array
+*>          AP as follows:
+*>          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
+*>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
+*>          If DIAG = 'U', the diagonal elements of A are not referenced
+*>          and are assumed to be 1.
+*> \endverbatim
+*>
+*> \param[in] B
+*> \verbatim
+*>          B is COMPLEX*16 array, dimension (LDB,NRHS)
+*>          The right hand side matrix B.
+*> \endverbatim
+*>
+*> \param[in] LDB
+*> \verbatim
+*>          LDB is INTEGER
+*>          The leading dimension of the array B.  LDB >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] X
+*> \verbatim
+*>          X is COMPLEX*16 array, dimension (LDX,NRHS)
+*>          The solution matrix X.
+*> \endverbatim
+*>
+*> \param[in] LDX
+*> \verbatim
+*>          LDX is INTEGER
+*>          The leading dimension of the array X.  LDX >= max(1,N).
+*> \endverbatim
+*>
+*> \param[out] FERR
+*> \verbatim
+*>          FERR is DOUBLE PRECISION array, dimension (NRHS)
+*>          The estimated forward error bound for each solution vector
+*>          X(j) (the j-th column of the solution matrix X).
+*>          If XTRUE is the true solution corresponding to X(j), FERR(j)
+*>          is an estimated upper bound for the magnitude of the largest
+*>          element in (X(j) - XTRUE) divided by the magnitude of the
+*>          largest element in X(j).  The estimate is as reliable as
+*>          the estimate for RCOND, and is almost always a slight
+*>          overestimate of the true error.
+*> \endverbatim
+*>
+*> \param[out] BERR
+*> \verbatim
+*>          BERR is DOUBLE PRECISION array, dimension (NRHS)
+*>          The componentwise relative backward error of each solution
+*>          vector X(j) (i.e., the smallest relative change in
+*>          any element of A or B that makes X(j) an exact solution).
+*> \endverbatim
+*>
+*> \param[out] WORK
+*> \verbatim
+*>          WORK is COMPLEX*16 array, dimension (2*N)
+*> \endverbatim
+*>
+*> \param[out] RWORK
+*> \verbatim
+*>          RWORK 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
+*> \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 ZTPRFS( UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX,
      $                   FERR, BERR, WORK, RWORK, 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
-*
-*     Modified to call ZLACN2 in place of ZLACON, 10 Feb 03, SJH.
+*     November 2011
 *
 *     .. Scalar Arguments ..
       CHARACTER          DIAG, TRANS, UPLO
@@ -17,85 +188,6 @@
       COMPLEX*16         AP( * ), B( LDB, * ), WORK( * ), X( LDX, * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  ZTPRFS provides error bounds and backward error estimates for the
-*  solution to a system of linear equations with a triangular packed
-*  coefficient matrix.
-*
-*  The solution matrix X must be computed by ZTPTRS or some other
-*  means before entering this routine.  ZTPRFS does not do iterative
-*  refinement because doing so cannot improve the backward error.
-*
-*  Arguments
-*  =========
-*
-*  UPLO    (input) CHARACTER*1
-*          = 'U':  A is upper triangular;
-*          = 'L':  A is lower triangular.
-*
-*  TRANS   (input) CHARACTER*1
-*          Specifies the form of the system of equations:
-*          = 'N':  A * X = B     (No transpose)
-*          = 'T':  A**T * X = B  (Transpose)
-*          = 'C':  A**H * X = B  (Conjugate transpose)
-*
-*  DIAG    (input) CHARACTER*1
-*          = 'N':  A is non-unit triangular;
-*          = 'U':  A is unit triangular.
-*
-*  N       (input) INTEGER
-*          The order of the matrix A.  N >= 0.
-*
-*  NRHS    (input) INTEGER
-*          The number of right hand sides, i.e., the number of columns
-*          of the matrices B and X.  NRHS >= 0.
-*
-*  AP      (input) COMPLEX*16 array, dimension (N*(N+1)/2)
-*          The upper or lower triangular matrix A, packed columnwise in
-*          a linear array.  The j-th column of A is stored in the array
-*          AP as follows:
-*          if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
-*          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
-*          If DIAG = 'U', the diagonal elements of A are not referenced
-*          and are assumed to be 1.
-*
-*  B       (input) COMPLEX*16 array, dimension (LDB,NRHS)
-*          The right hand side matrix B.
-*
-*  LDB     (input) INTEGER
-*          The leading dimension of the array B.  LDB >= max(1,N).
-*
-*  X       (input) COMPLEX*16 array, dimension (LDX,NRHS)
-*          The solution matrix X.
-*
-*  LDX     (input) INTEGER
-*          The leading dimension of the array X.  LDX >= max(1,N).
-*
-*  FERR    (output) DOUBLE PRECISION array, dimension (NRHS)
-*          The estimated forward error bound for each solution vector
-*          X(j) (the j-th column of the solution matrix X).
-*          If XTRUE is the true solution corresponding to X(j), FERR(j)
-*          is an estimated upper bound for the magnitude of the largest
-*          element in (X(j) - XTRUE) divided by the magnitude of the
-*          largest element in X(j).  The estimate is as reliable as
-*          the estimate for RCOND, and is almost always a slight
-*          overestimate of the true error.
-*
-*  BERR    (output) DOUBLE PRECISION array, dimension (NRHS)
-*          The componentwise relative backward error of each solution
-*          vector X(j) (i.e., the smallest relative change in
-*          any element of A or B that makes X(j) an exact solution).
-*
-*  WORK    (workspace) COMPLEX*16 array, dimension (2*N)
-*
-*  RWORK   (workspace) DOUBLE PRECISION array, dimension (N)
-*
-*  INFO    (output) INTEGER
-*          = 0:  successful exit
-*          < 0:  if INFO = -i, the i-th argument had an illegal value
-*
 *  =====================================================================
 *
 *     .. Parameters ..