--- rpl/lapack/lapack/zhesv.f	2011/07/22 07:38:15	1.9
+++ rpl/lapack/lapack/zhesv.f	2011/11/21 20:43:12	1.10
@@ -1,11 +1,180 @@
+*> \brief <b> ZHESV computes the solution to system of linear equations A * X = B for HE matrices</b>
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ZHESV + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhesv.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhesv.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhesv.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZHESV( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK,
+*                         LWORK, INFO )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          UPLO
+*       INTEGER            INFO, LDA, LDB, LWORK, N, NRHS
+*       ..
+*       .. Array Arguments ..
+*       INTEGER            IPIV( * )
+*       COMPLEX*16         A( LDA, * ), B( LDB, * ), WORK( * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZHESV computes the solution to a complex system of linear equations
+*>    A * X = B,
+*> where A is an N-by-N Hermitian matrix and X and B are N-by-NRHS
+*> matrices.
+*>
+*> The diagonal pivoting method is used to factor A as
+*>    A = U * D * U**H,  if UPLO = 'U', or
+*>    A = L * D * L**H,  if UPLO = 'L',
+*> where U (or L) is a product of permutation and unit upper (lower)
+*> triangular matrices, and D is Hermitian and block diagonal with
+*> 1-by-1 and 2-by-2 diagonal blocks.  The factored form of A is then
+*> used to solve the system of equations A * X = B.
+*> \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 number of linear equations, i.e., 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 matrix B.  NRHS >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] A
+*> \verbatim
+*>          A is COMPLEX*16 array, dimension (LDA,N)
+*>          On entry, 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.
+*>
+*>          On exit, if INFO = 0, 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] LDA
+*> \verbatim
+*>          LDA is INTEGER
+*>          The leading dimension of the array A.  LDA >= max(1,N).
+*> \endverbatim
+*>
+*> \param[out] IPIV
+*> \verbatim
+*>          IPIV is INTEGER array, dimension (N)
+*>          Details of the interchanges and the block structure of D, as
+*>          determined by ZHETRF.  If IPIV(k) > 0, then rows and columns
+*>          k and IPIV(k) were interchanged, and D(k,k) is a 1-by-1
+*>          diagonal block.  If UPLO = 'U' and IPIV(k) = IPIV(k-1) < 0,
+*>          then rows and columns k-1 and -IPIV(k) were interchanged and
+*>          D(k-1:k,k-1:k) is a 2-by-2 diagonal block.  If UPLO = 'L' and
+*>          IPIV(k) = IPIV(k+1) < 0, then rows and columns k+1 and
+*>          -IPIV(k) were interchanged and D(k:k+1,k:k+1) is a 2-by-2
+*>          diagonal block.
+*> \endverbatim
+*>
+*> \param[in,out] B
+*> \verbatim
+*>          B is COMPLEX*16 array, dimension (LDB,NRHS)
+*>          On entry, the N-by-NRHS right hand side matrix B.
+*>          On exit, if INFO = 0, the N-by-NRHS solution matrix X.
+*> \endverbatim
+*>
+*> \param[in] LDB
+*> \verbatim
+*>          LDB is INTEGER
+*>          The leading dimension of the array B.  LDB >= max(1,N).
+*> \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 length of WORK.  LWORK >= 1, and for best performance
+*>          LWORK >= max(1,N*NB), where NB is the optimal blocksize for
+*>          ZHETRF.
+*>          for LWORK < N, TRS will be done with Level BLAS 2
+*>          for LWORK >= N, TRS will be done with Level BLAS 3
+*>
+*>          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
+*>          > 0: if INFO = i, D(i,i) is exactly zero.  The factorization
+*>               has been completed, but the block diagonal matrix D is
+*>               exactly singular, so the solution could not be computed.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complex16HEsolve
+*
+*  =====================================================================
       SUBROUTINE ZHESV( UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK,
      $                  LWORK, INFO )
 *
-*  -- LAPACK driver routine (version 3.3.1) --
+*  -- LAPACK driver 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 -> c
+*     November 2011
 *
 *     .. Scalar Arguments ..
       CHARACTER          UPLO
@@ -16,94 +185,6 @@
       COMPLEX*16         A( LDA, * ), B( LDB, * ), WORK( * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  ZHESV computes the solution to a complex system of linear equations
-*     A * X = B,
-*  where A is an N-by-N Hermitian matrix and X and B are N-by-NRHS
-*  matrices.
-*
-*  The diagonal pivoting method is used to factor A as
-*     A = U * D * U**H,  if UPLO = 'U', or
-*     A = L * D * L**H,  if UPLO = 'L',
-*  where U (or L) is a product of permutation and unit upper (lower)
-*  triangular matrices, and D is Hermitian and block diagonal with
-*  1-by-1 and 2-by-2 diagonal blocks.  The factored form of A is then
-*  used to solve the system of equations A * X = B.
-*
-*  Arguments
-*  =========
-*
-*  UPLO    (input) CHARACTER*1
-*          = 'U':  Upper triangle of A is stored;
-*          = 'L':  Lower triangle of A is stored.
-*
-*  N       (input) INTEGER
-*          The number of linear equations, i.e., 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 matrix B.  NRHS >= 0.
-*
-*  A       (input/output) COMPLEX*16 array, dimension (LDA,N)
-*          On entry, 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.
-*
-*          On exit, if INFO = 0, 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.
-*
-*  LDA     (input) INTEGER
-*          The leading dimension of the array A.  LDA >= max(1,N).
-*
-*  IPIV    (output) INTEGER array, dimension (N)
-*          Details of the interchanges and the block structure of D, as
-*          determined by ZHETRF.  If IPIV(k) > 0, then rows and columns
-*          k and IPIV(k) were interchanged, and D(k,k) is a 1-by-1
-*          diagonal block.  If UPLO = 'U' and IPIV(k) = IPIV(k-1) < 0,
-*          then rows and columns k-1 and -IPIV(k) were interchanged and
-*          D(k-1:k,k-1:k) is a 2-by-2 diagonal block.  If UPLO = 'L' and
-*          IPIV(k) = IPIV(k+1) < 0, then rows and columns k+1 and
-*          -IPIV(k) were interchanged and D(k:k+1,k:k+1) is a 2-by-2
-*          diagonal block.
-*
-*  B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
-*          On entry, the N-by-NRHS right hand side matrix B.
-*          On exit, if INFO = 0, the N-by-NRHS solution matrix X.
-*
-*  LDB     (input) INTEGER
-*          The leading dimension of the array B.  LDB >= max(1,N).
-*
-*  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 length of WORK.  LWORK >= 1, and for best performance
-*          LWORK >= max(1,N*NB), where NB is the optimal blocksize for
-*          ZHETRF.
-*          for LWORK < N, TRS will be done with Level BLAS 2
-*          for LWORK >= N, TRS will be done with Level BLAS 3
-*
-*          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
-*          > 0: if INFO = i, D(i,i) is exactly zero.  The factorization
-*               has been completed, but the block diagonal matrix D is
-*               exactly singular, so the solution could not be computed.
-*
 *  =====================================================================
 *
 *     .. Local Scalars ..