--- rpl/lapack/lapack/zherfs.f	2011/07/22 07:38:15	1.8
+++ rpl/lapack/lapack/zherfs.f	2011/11/21 20:43:12	1.9
@@ -1,12 +1,201 @@
+*> \brief \b ZHERFS
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ZHERFS + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zherfs.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zherfs.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zherfs.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZHERFS( UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB,
+*                          X, LDX, FERR, BERR, WORK, RWORK, INFO )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          UPLO
+*       INTEGER            INFO, LDA, LDAF, LDB, LDX, N, NRHS
+*       ..
+*       .. Array Arguments ..
+*       INTEGER            IPIV( * )
+*       DOUBLE PRECISION   BERR( * ), FERR( * ), RWORK( * )
+*       COMPLEX*16         A( LDA, * ), AF( LDAF, * ), B( LDB, * ),
+*      $                   WORK( * ), X( LDX, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZHERFS improves the computed solution to a system of linear
+*> equations when the coefficient matrix is Hermitian indefinite, and
+*> provides error bounds and backward error estimates for the solution.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*>          UPLO is CHARACTER*1
+*>          = 'U':  Upper triangle of A is stored;
+*>          = 'L':  Lower triangle of A is stored.
+*> \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] A
+*> \verbatim
+*>          A is COMPLEX*16 array, dimension (LDA,N)
+*>          The Hermitian matrix A.  If UPLO = 'U', the leading N-by-N
+*>          upper triangular part of A contains the upper triangular part
+*>          of the matrix A, and the strictly lower triangular part of A
+*>          is not referenced.  If UPLO = 'L', the leading N-by-N lower
+*>          triangular part of A contains the lower triangular part of
+*>          the matrix A, and the strictly upper triangular part of A is
+*>          not referenced.
+*> \endverbatim
+*>
+*> \param[in] LDA
+*> \verbatim
+*>          LDA is INTEGER
+*>          The leading dimension of the array A.  LDA >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] AF
+*> \verbatim
+*>          AF is COMPLEX*16 array, dimension (LDAF,N)
+*>          The factored form of the matrix A.  AF contains the block
+*>          diagonal matrix D and the multipliers used to obtain the
+*>          factor U or L from the factorization A = U*D*U**H or
+*>          A = L*D*L**H as computed by ZHETRF.
+*> \endverbatim
+*>
+*> \param[in] LDAF
+*> \verbatim
+*>          LDAF is INTEGER
+*>          The leading dimension of the array AF.  LDAF >= max(1,N).
+*> \endverbatim
+*>
+*> \param[in] IPIV
+*> \verbatim
+*>          IPIV is INTEGER array, dimension (N)
+*>          Details of the interchanges and the block structure of D
+*>          as determined by ZHETRF.
+*> \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,out] X
+*> \verbatim
+*>          X is COMPLEX*16 array, dimension (LDX,NRHS)
+*>          On entry, the solution matrix X, as computed by ZHETRS.
+*>          On exit, the improved 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
+*
+*> \par Internal Parameters:
+*  =========================
+*>
+*> \verbatim
+*>  ITMAX is the maximum number of steps of iterative refinement.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complex16HEcomputational
+*
+*  =====================================================================
       SUBROUTINE ZHERFS( UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, 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          UPLO
@@ -19,93 +208,6 @@
      $                   WORK( * ), X( LDX, * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  ZHERFS improves the computed solution to a system of linear
-*  equations when the coefficient matrix is Hermitian indefinite, and
-*  provides error bounds and backward error estimates for the solution.
-*
-*  Arguments
-*  =========
-*
-*  UPLO    (input) CHARACTER*1
-*          = 'U':  Upper triangle of A is stored;
-*          = 'L':  Lower triangle of A is stored.
-*
-*  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.
-*
-*  A       (input) COMPLEX*16 array, dimension (LDA,N)
-*          The Hermitian matrix A.  If UPLO = 'U', the leading N-by-N
-*          upper triangular part of A contains the upper triangular part
-*          of the matrix A, and the strictly lower triangular part of A
-*          is not referenced.  If UPLO = 'L', the leading N-by-N lower
-*          triangular part of A contains the lower triangular part of
-*          the matrix A, and the strictly upper triangular part of A is
-*          not referenced.
-*
-*  LDA     (input) INTEGER
-*          The leading dimension of the array A.  LDA >= max(1,N).
-*
-*  AF      (input) COMPLEX*16 array, dimension (LDAF,N)
-*          The factored form of the matrix A.  AF contains the block
-*          diagonal matrix D and the multipliers used to obtain the
-*          factor U or L from the factorization A = U*D*U**H or
-*          A = L*D*L**H as computed by ZHETRF.
-*
-*  LDAF    (input) INTEGER
-*          The leading dimension of the array AF.  LDAF >= max(1,N).
-*
-*  IPIV    (input) INTEGER array, dimension (N)
-*          Details of the interchanges and the block structure of D
-*          as determined by ZHETRF.
-*
-*  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/output) COMPLEX*16 array, dimension (LDX,NRHS)
-*          On entry, the solution matrix X, as computed by ZHETRS.
-*          On exit, the improved 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
-*
-*  Internal Parameters
-*  ===================
-*
-*  ITMAX is the maximum number of steps of iterative refinement.
-*
 *  =====================================================================
 *
 *     .. Parameters ..