--- rpl/lapack/lapack/zgbrfs.f	2010/12/21 13:53:42	1.7
+++ rpl/lapack/lapack/zgbrfs.f	2011/11/21 20:43:08	1.8
@@ -1,13 +1,215 @@
+*> \brief \b ZGBRFS
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ZGBRFS + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zgbrfs.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zgbrfs.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zgbrfs.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZGBRFS( TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB,
+*                          IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK,
+*                          INFO )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          TRANS
+*       INTEGER            INFO, KL, KU, LDAB, LDAFB, LDB, LDX, N, NRHS
+*       ..
+*       .. Array Arguments ..
+*       INTEGER            IPIV( * )
+*       DOUBLE PRECISION   BERR( * ), FERR( * ), RWORK( * )
+*       COMPLEX*16         AB( LDAB, * ), AFB( LDAFB, * ), B( LDB, * ),
+*      $                   WORK( * ), X( LDX, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZGBRFS improves the computed solution to a system of linear
+*> equations when the coefficient matrix is banded, and provides
+*> error bounds and backward error estimates for the solution.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \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] N
+*> \verbatim
+*>          N is INTEGER
+*>          The order of the matrix A.  N >= 0.
+*> \endverbatim
+*>
+*> \param[in] KL
+*> \verbatim
+*>          KL is INTEGER
+*>          The number of subdiagonals within the band of A.  KL >= 0.
+*> \endverbatim
+*>
+*> \param[in] KU
+*> \verbatim
+*>          KU is INTEGER
+*>          The number of superdiagonals within the band of A.  KU >= 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] AB
+*> \verbatim
+*>          AB is COMPLEX*16 array, dimension (LDAB,N)
+*>          The original band matrix A, stored in rows 1 to KL+KU+1.
+*>          The j-th column of A is stored in the j-th column of the
+*>          array AB as follows:
+*>          AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(n,j+kl).
+*> \endverbatim
+*>
+*> \param[in] LDAB
+*> \verbatim
+*>          LDAB is INTEGER
+*>          The leading dimension of the array AB.  LDAB >= KL+KU+1.
+*> \endverbatim
+*>
+*> \param[in] AFB
+*> \verbatim
+*>          AFB is COMPLEX*16 array, dimension (LDAFB,N)
+*>          Details of the LU factorization of the band matrix A, as
+*>          computed by ZGBTRF.  U is stored as an upper triangular band
+*>          matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and
+*>          the multipliers used during the factorization are stored in
+*>          rows KL+KU+2 to 2*KL+KU+1.
+*> \endverbatim
+*>
+*> \param[in] LDAFB
+*> \verbatim
+*>          LDAFB is INTEGER
+*>          The leading dimension of the array AFB.  LDAFB >= 2*KL*KU+1.
+*> \endverbatim
+*>
+*> \param[in] IPIV
+*> \verbatim
+*>          IPIV is INTEGER array, dimension (N)
+*>          The pivot indices from ZGBTRF; for 1<=i<=N, row i of the
+*>          matrix was interchanged with row IPIV(i).
+*> \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 ZGBTRS.
+*>          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 complex16GBcomputational
+*
+*  =====================================================================
       SUBROUTINE ZGBRFS( TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB,
      $                   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          TRANS
@@ -20,99 +222,6 @@
      $                   WORK( * ), X( LDX, * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  ZGBRFS improves the computed solution to a system of linear
-*  equations when the coefficient matrix is banded, and provides
-*  error bounds and backward error estimates for the solution.
-*
-*  Arguments
-*  =========
-*
-*  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)
-*
-*  N       (input) INTEGER
-*          The order of the matrix A.  N >= 0.
-*
-*  KL      (input) INTEGER
-*          The number of subdiagonals within the band of A.  KL >= 0.
-*
-*  KU      (input) INTEGER
-*          The number of superdiagonals within the band of A.  KU >= 0.
-*
-*  NRHS    (input) INTEGER
-*          The number of right hand sides, i.e., the number of columns
-*          of the matrices B and X.  NRHS >= 0.
-*
-*  AB      (input) COMPLEX*16 array, dimension (LDAB,N)
-*          The original band matrix A, stored in rows 1 to KL+KU+1.
-*          The j-th column of A is stored in the j-th column of the
-*          array AB as follows:
-*          AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(n,j+kl).
-*
-*  LDAB    (input) INTEGER
-*          The leading dimension of the array AB.  LDAB >= KL+KU+1.
-*
-*  AFB     (input) COMPLEX*16 array, dimension (LDAFB,N)
-*          Details of the LU factorization of the band matrix A, as
-*          computed by ZGBTRF.  U is stored as an upper triangular band
-*          matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and
-*          the multipliers used during the factorization are stored in
-*          rows KL+KU+2 to 2*KL+KU+1.
-*
-*  LDAFB   (input) INTEGER
-*          The leading dimension of the array AFB.  LDAFB >= 2*KL*KU+1.
-*
-*  IPIV    (input) INTEGER array, dimension (N)
-*          The pivot indices from ZGBTRF; for 1<=i<=N, row i of the
-*          matrix was interchanged with row IPIV(i).
-*
-*  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 ZGBTRS.
-*          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 ..