--- rpl/lapack/lapack/zpbtf2.f	2011/07/22 07:38:18	1.8
+++ rpl/lapack/lapack/zpbtf2.f	2011/11/21 20:43:18	1.9
@@ -1,9 +1,151 @@
+*> \brief \b ZPBTF2
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download ZPBTF2 + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zpbtf2.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zpbtf2.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zpbtf2.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       SUBROUTINE ZPBTF2( UPLO, N, KD, AB, LDAB, INFO )
+* 
+*       .. Scalar Arguments ..
+*       CHARACTER          UPLO
+*       INTEGER            INFO, KD, LDAB, N
+*       ..
+*       .. Array Arguments ..
+*       COMPLEX*16         AB( LDAB, * )
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> ZPBTF2 computes the Cholesky factorization of a complex Hermitian
+*> positive definite band matrix A.
+*>
+*> The factorization has the form
+*>    A = U**H * U ,  if UPLO = 'U', or
+*>    A = L  * L**H,  if UPLO = 'L',
+*> where U is an upper triangular matrix, U**H is the conjugate transpose
+*> of U, and L is lower triangular.
+*>
+*> This is the unblocked version of the algorithm, calling Level 2 BLAS.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] UPLO
+*> \verbatim
+*>          UPLO is CHARACTER*1
+*>          Specifies whether the upper or lower triangular part of the
+*>          Hermitian matrix A is stored:
+*>          = 'U':  Upper triangular
+*>          = 'L':  Lower triangular
+*> \endverbatim
+*>
+*> \param[in] N
+*> \verbatim
+*>          N is INTEGER
+*>          The order of the matrix A.  N >= 0.
+*> \endverbatim
+*>
+*> \param[in] KD
+*> \verbatim
+*>          KD is INTEGER
+*>          The number of super-diagonals of the matrix A if UPLO = 'U',
+*>          or the number of sub-diagonals if UPLO = 'L'.  KD >= 0.
+*> \endverbatim
+*>
+*> \param[in,out] AB
+*> \verbatim
+*>          AB is COMPLEX*16 array, dimension (LDAB,N)
+*>          On entry, the upper or lower triangle of the Hermitian band
+*>          matrix A, stored in the first KD+1 rows of the array.  The
+*>          j-th column of A is stored in the j-th column of the array AB
+*>          as follows:
+*>          if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
+*>          if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for j<=i<=min(n,j+kd).
+*>
+*>          On exit, if INFO = 0, the triangular factor U or L from the
+*>          Cholesky factorization A = U**H *U or A = L*L**H of the band
+*>          matrix A, in the same storage format as A.
+*> \endverbatim
+*>
+*> \param[in] LDAB
+*> \verbatim
+*>          LDAB is INTEGER
+*>          The leading dimension of the array AB.  LDAB >= KD+1.
+*> \endverbatim
+*>
+*> \param[out] INFO
+*> \verbatim
+*>          INFO is INTEGER
+*>          = 0: successful exit
+*>          < 0: if INFO = -k, the k-th argument had an illegal value
+*>          > 0: if INFO = k, the leading minor of order k is not
+*>               positive definite, and the factorization could not be
+*>               completed.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup complex16OTHERcomputational
+*
+*> \par Further Details:
+*  =====================
+*>
+*> \verbatim
+*>
+*>  The band storage scheme is illustrated by the following example, when
+*>  N = 6, KD = 2, and UPLO = 'U':
+*>
+*>  On entry:                       On exit:
+*>
+*>      *    *   a13  a24  a35  a46      *    *   u13  u24  u35  u46
+*>      *   a12  a23  a34  a45  a56      *   u12  u23  u34  u45  u56
+*>     a11  a22  a33  a44  a55  a66     u11  u22  u33  u44  u55  u66
+*>
+*>  Similarly, if UPLO = 'L' the format of A is as follows:
+*>
+*>  On entry:                       On exit:
+*>
+*>     a11  a22  a33  a44  a55  a66     l11  l22  l33  l44  l55  l66
+*>     a21  a32  a43  a54  a65   *      l21  l32  l43  l54  l65   *
+*>     a31  a42  a53  a64   *    *      l31  l42  l53  l64   *    *
+*>
+*>  Array elements marked * are not used by the routine.
+*> \endverbatim
+*>
+*  =====================================================================
       SUBROUTINE ZPBTF2( UPLO, N, KD, AB, LDAB, 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
@@ -13,80 +155,6 @@
       COMPLEX*16         AB( LDAB, * )
 *     ..
 *
-*  Purpose
-*  =======
-*
-*  ZPBTF2 computes the Cholesky factorization of a complex Hermitian
-*  positive definite band matrix A.
-*
-*  The factorization has the form
-*     A = U**H * U ,  if UPLO = 'U', or
-*     A = L  * L**H,  if UPLO = 'L',
-*  where U is an upper triangular matrix, U**H is the conjugate transpose
-*  of U, and L is lower triangular.
-*
-*  This is the unblocked version of the algorithm, calling Level 2 BLAS.
-*
-*  Arguments
-*  =========
-*
-*  UPLO    (input) CHARACTER*1
-*          Specifies whether the upper or lower triangular part of the
-*          Hermitian matrix A is stored:
-*          = 'U':  Upper triangular
-*          = 'L':  Lower triangular
-*
-*  N       (input) INTEGER
-*          The order of the matrix A.  N >= 0.
-*
-*  KD      (input) INTEGER
-*          The number of super-diagonals of the matrix A if UPLO = 'U',
-*          or the number of sub-diagonals if UPLO = 'L'.  KD >= 0.
-*
-*  AB      (input/output) COMPLEX*16 array, dimension (LDAB,N)
-*          On entry, the upper or lower triangle of the Hermitian band
-*          matrix A, stored in the first KD+1 rows of the array.  The
-*          j-th column of A is stored in the j-th column of the array AB
-*          as follows:
-*          if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;
-*          if UPLO = 'L', AB(1+i-j,j)    = A(i,j) for j<=i<=min(n,j+kd).
-*
-*          On exit, if INFO = 0, the triangular factor U or L from the
-*          Cholesky factorization A = U**H *U or A = L*L**H of the band
-*          matrix A, in the same storage format as A.
-*
-*  LDAB    (input) INTEGER
-*          The leading dimension of the array AB.  LDAB >= KD+1.
-*
-*  INFO    (output) INTEGER
-*          = 0: successful exit
-*          < 0: if INFO = -k, the k-th argument had an illegal value
-*          > 0: if INFO = k, the leading minor of order k is not
-*               positive definite, and the factorization could not be
-*               completed.
-*
-*  Further Details
-*  ===============
-*
-*  The band storage scheme is illustrated by the following example, when
-*  N = 6, KD = 2, and UPLO = 'U':
-*
-*  On entry:                       On exit:
-*
-*      *    *   a13  a24  a35  a46      *    *   u13  u24  u35  u46
-*      *   a12  a23  a34  a45  a56      *   u12  u23  u34  u45  u56
-*     a11  a22  a33  a44  a55  a66     u11  u22  u33  u44  u55  u66
-*
-*  Similarly, if UPLO = 'L' the format of A is as follows:
-*
-*  On entry:                       On exit:
-*
-*     a11  a22  a33  a44  a55  a66     l11  l22  l33  l44  l55  l66
-*     a21  a32  a43  a54  a65   *      l21  l32  l43  l54  l65   *
-*     a31  a42  a53  a64   *    *      l31  l42  l53  l64   *    *
-*
-*  Array elements marked * are not used by the routine.
-*
 *  =====================================================================
 *
 *     .. Parameters ..