--- rpl/lapack/lapack/zhetrf.f	2011/07/22 07:38:15	1.8
+++ rpl/lapack/lapack/zhetrf.f	2011/11/21 20:43:12	1.9
@@ -1,9 +1,186 @@
+*> \brief \b ZHETRF
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ZHETRF + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zhetrf.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zhetrf.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zhetrf.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZHETRF( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          UPLO
+*       INTEGER            INFO, LDA, LWORK, N
+*       ..
+*       .. Array Arguments ..
+*       INTEGER            IPIV( * )
+*       COMPLEX*16         A( LDA, * ), WORK( * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZHETRF computes the factorization of a complex Hermitian matrix A
+*> using the Bunch-Kaufman diagonal pivoting method.  The form of the
+*> factorization is
+*>
+*>    A = U*D*U**H  or  A = L*D*L**H
+*>
+*> 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.
+*>
+*> This is the blocked version of the algorithm, calling Level 3 BLAS.
+*> \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,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, the block diagonal matrix D and the multipliers used
+*>          to obtain the factor U or L (see below for further details).
+*> \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.
+*>          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[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.  For best performance
+*>          LWORK >= N*NB, where NB is the block size returned by ILAENV.
+*> \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, and division by zero will occur if it
+*>                is used to solve a system of equations.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complex16HEcomputational
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>  If UPLO = 'U', then A = U*D*U**H, where
+*>     U = P(n)*U(n)* ... *P(k)U(k)* ...,
+*>  i.e., U is a product of terms P(k)*U(k), where k decreases from n to
+*>  1 in steps of 1 or 2, and D is a block diagonal matrix with 1-by-1
+*>  and 2-by-2 diagonal blocks D(k).  P(k) is a permutation matrix as
+*>  defined by IPIV(k), and U(k) is a unit upper triangular matrix, such
+*>  that if the diagonal block D(k) is of order s (s = 1 or 2), then
+*>
+*>             (   I    v    0   )   k-s
+*>     U(k) =  (   0    I    0   )   s
+*>             (   0    0    I   )   n-k
+*>                k-s   s   n-k
+*>
+*>  If s = 1, D(k) overwrites A(k,k), and v overwrites A(1:k-1,k).
+*>  If s = 2, the upper triangle of D(k) overwrites A(k-1,k-1), A(k-1,k),
+*>  and A(k,k), and v overwrites A(1:k-2,k-1:k).
+*>
+*>  If UPLO = 'L', then A = L*D*L**H, where
+*>     L = P(1)*L(1)* ... *P(k)*L(k)* ...,
+*>  i.e., L is a product of terms P(k)*L(k), where k increases from 1 to
+*>  n in steps of 1 or 2, and D is a block diagonal matrix with 1-by-1
+*>  and 2-by-2 diagonal blocks D(k).  P(k) is a permutation matrix as
+*>  defined by IPIV(k), and L(k) is a unit lower triangular matrix, such
+*>  that if the diagonal block D(k) is of order s (s = 1 or 2), then
+*>
+*>             (   I    0     0   )  k-1
+*>     L(k) =  (   0    I     0   )  s
+*>             (   0    v     I   )  n-k-s+1
+*>                k-1   s  n-k-s+1
+*>
+*>  If s = 1, D(k) overwrites A(k,k), and v overwrites A(k+1:n,k).
+*>  If s = 2, the lower triangle of D(k) overwrites A(k,k), A(k+1,k),
+*>  and A(k+1,k+1), and v overwrites A(k+2:n,k:k+1).
+*> \endverbatim
+*>
+*  =====================================================================
       SUBROUTINE ZHETRF( UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO )
 *
-*  -- LAPACK routine (version 3.3.1) --
+*  -- 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..--
-*  -- April 2011                                                      --
+*     November 2011
 *
 *     .. Scalar Arguments ..
       CHARACTER          UPLO
@@ -14,108 +191,6 @@
       COMPLEX*16         A( LDA, * ), WORK( * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  ZHETRF computes the factorization of a complex Hermitian matrix A
-*  using the Bunch-Kaufman diagonal pivoting method.  The form of the
-*  factorization is
-*
-*     A = U*D*U**H  or  A = L*D*L**H
-*
-*  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.
-*
-*  This is the blocked version of the algorithm, calling Level 3 BLAS.
-*
-*  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.
-*
-*  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, the block diagonal matrix D and the multipliers used
-*          to obtain the factor U or L (see below for further details).
-*
-*  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.
-*          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.
-*
-*  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.  For best performance
-*          LWORK >= N*NB, where NB is the block size returned by ILAENV.
-*
-*  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, and division by zero will occur if it
-*                is used to solve a system of equations.
-*
-*  Further Details
-*  ===============
-*
-*  If UPLO = 'U', then A = U*D*U**H, where
-*     U = P(n)*U(n)* ... *P(k)U(k)* ...,
-*  i.e., U is a product of terms P(k)*U(k), where k decreases from n to
-*  1 in steps of 1 or 2, and D is a block diagonal matrix with 1-by-1
-*  and 2-by-2 diagonal blocks D(k).  P(k) is a permutation matrix as
-*  defined by IPIV(k), and U(k) is a unit upper triangular matrix, such
-*  that if the diagonal block D(k) is of order s (s = 1 or 2), then
-*
-*             (   I    v    0   )   k-s
-*     U(k) =  (   0    I    0   )   s
-*             (   0    0    I   )   n-k
-*                k-s   s   n-k
-*
-*  If s = 1, D(k) overwrites A(k,k), and v overwrites A(1:k-1,k).
-*  If s = 2, the upper triangle of D(k) overwrites A(k-1,k-1), A(k-1,k),
-*  and A(k,k), and v overwrites A(1:k-2,k-1:k).
-*
-*  If UPLO = 'L', then A = L*D*L**H, where
-*     L = P(1)*L(1)* ... *P(k)*L(k)* ...,
-*  i.e., L is a product of terms P(k)*L(k), where k increases from 1 to
-*  n in steps of 1 or 2, and D is a block diagonal matrix with 1-by-1
-*  and 2-by-2 diagonal blocks D(k).  P(k) is a permutation matrix as
-*  defined by IPIV(k), and L(k) is a unit lower triangular matrix, such
-*  that if the diagonal block D(k) is of order s (s = 1 or 2), then
-*
-*             (   I    0     0   )  k-1
-*     L(k) =  (   0    I     0   )  s
-*             (   0    v     I   )  n-k-s+1
-*                k-1   s  n-k-s+1
-*
-*  If s = 1, D(k) overwrites A(k,k), and v overwrites A(k+1:n,k).
-*  If s = 2, the lower triangle of D(k) overwrites A(k,k), A(k+1,k),
-*  and A(k+1,k+1), and v overwrites A(k+2:n,k:k+1).
-*
 *  =====================================================================
 *
 *     .. Local Scalars ..