--- rpl/lapack/lapack/dsprfs.f	2011/07/22 07:38:11	1.8
+++ rpl/lapack/lapack/dsprfs.f	2011/11/21 20:43:03	1.9
@@ -1,12 +1,188 @@
+*> \brief \b DSPRFS
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download DSPRFS + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dsprfs.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dsprfs.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dsprfs.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE DSPRFS( UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX,
+*                          FERR, BERR, WORK, IWORK, INFO )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          UPLO
+*       INTEGER            INFO, LDB, LDX, N, NRHS
+*       ..
+*       .. Array Arguments ..
+*       INTEGER            IPIV( * ), IWORK( * )
+*       DOUBLE PRECISION   AFP( * ), AP( * ), B( LDB, * ), BERR( * ),
+*      $                   FERR( * ), WORK( * ), X( LDX, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> DSPRFS improves the computed solution to a system of linear
+*> equations when the coefficient matrix is symmetric indefinite
+*> and packed, 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] AP
+*> \verbatim
+*>          AP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
+*>          The upper or lower triangle of the symmetric 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)*(2*n-j)/2) = A(i,j) for j<=i<=n.
+*> \endverbatim
+*>
+*> \param[in] AFP
+*> \verbatim
+*>          AFP is DOUBLE PRECISION array, dimension (N*(N+1)/2)
+*>          The factored form of the matrix A.  AFP contains the block
+*>          diagonal matrix D and the multipliers used to obtain the
+*>          factor U or L from the factorization A = U*D*U**T or
+*>          A = L*D*L**T as computed by DSPTRF, stored as a packed
+*>          triangular matrix.
+*> \endverbatim
+*>
+*> \param[in] IPIV
+*> \verbatim
+*>          IPIV is INTEGER array, dimension (N)
+*>          Details of the interchanges and the block structure of D
+*>          as determined by DSPTRF.
+*> \endverbatim
+*>
+*> \param[in] B
+*> \verbatim
+*>          B is DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (LDX,NRHS)
+*>          On entry, the solution matrix X, as computed by DSPTRS.
+*>          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 DOUBLE PRECISION array, dimension (3*N)
+*> \endverbatim
+*>
+*> \param[out] IWORK
+*> \verbatim
+*>          IWORK is INTEGER 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 doubleOTHERcomputational
+*
+*  =====================================================================
       SUBROUTINE DSPRFS( UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX,
      $                   FERR, BERR, WORK, IWORK, 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 DLACN2 in place of DLACON, 5 Feb 03, SJH.
+*     November 2011
 *
 *     .. Scalar Arguments ..
       CHARACTER          UPLO
@@ -18,87 +194,6 @@
      $                   FERR( * ), WORK( * ), X( LDX, * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  DSPRFS improves the computed solution to a system of linear
-*  equations when the coefficient matrix is symmetric indefinite
-*  and packed, 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.
-*
-*  AP      (input) DOUBLE PRECISION array, dimension (N*(N+1)/2)
-*          The upper or lower triangle of the symmetric 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)*(2*n-j)/2) = A(i,j) for j<=i<=n.
-*
-*  AFP     (input) DOUBLE PRECISION array, dimension (N*(N+1)/2)
-*          The factored form of the matrix A.  AFP contains the block
-*          diagonal matrix D and the multipliers used to obtain the
-*          factor U or L from the factorization A = U*D*U**T or
-*          A = L*D*L**T as computed by DSPTRF, stored as a packed
-*          triangular matrix.
-*
-*  IPIV    (input) INTEGER array, dimension (N)
-*          Details of the interchanges and the block structure of D
-*          as determined by DSPTRF.
-*
-*  B       (input) DOUBLE PRECISION 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) DOUBLE PRECISION array, dimension (LDX,NRHS)
-*          On entry, the solution matrix X, as computed by DSPTRS.
-*          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) DOUBLE PRECISION array, dimension (3*N)
-*
-*  IWORK   (workspace) INTEGER 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 ..