Diff for /rpl/lapack/lapack/zpttrs.f between versions 1.8 and 1.9

version 1.8, 2011/07/22 07:38:20 version 1.9, 2011/11/21 20:43:20
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   *> \brief \b ZPTTRS
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZPTTRS + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zpttrs.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zpttrs.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zpttrs.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZPTTRS( UPLO, N, NRHS, D, E, B, LDB, INFO )
   * 
   *       .. Scalar Arguments ..
   *       CHARACTER          UPLO
   *       INTEGER            INFO, LDB, N, NRHS
   *       ..
   *       .. Array Arguments ..
   *       DOUBLE PRECISION   D( * )
   *       COMPLEX*16         B( LDB, * ), E( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZPTTRS solves a tridiagonal system of the form
   *>    A * X = B
   *> using the factorization A = U**H *D* U or A = L*D*L**H computed by ZPTTRF.
   *> D is a diagonal matrix specified in the vector D, U (or L) is a unit
   *> bidiagonal matrix whose superdiagonal (subdiagonal) is specified in
   *> the vector E, and X and B are N by NRHS matrices.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] UPLO
   *> \verbatim
   *>          UPLO is CHARACTER*1
   *>          Specifies the form of the factorization and whether the
   *>          vector E is the superdiagonal of the upper bidiagonal factor
   *>          U or the subdiagonal of the lower bidiagonal factor L.
   *>          = 'U':  A = U**H *D*U, E is the superdiagonal of U
   *>          = 'L':  A = L*D*L**H, E is the subdiagonal of L
   *> \endverbatim
   *>
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          The order of the tridiagonal 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] D
   *> \verbatim
   *>          D is DOUBLE PRECISION array, dimension (N)
   *>          The n diagonal elements of the diagonal matrix D from the
   *>          factorization A = U**H *D*U or A = L*D*L**H.
   *> \endverbatim
   *>
   *> \param[in] E
   *> \verbatim
   *>          E is COMPLEX*16 array, dimension (N-1)
   *>          If UPLO = 'U', the (n-1) superdiagonal elements of the unit
   *>          bidiagonal factor U from the factorization A = U**H*D*U.
   *>          If UPLO = 'L', the (n-1) subdiagonal elements of the unit
   *>          bidiagonal factor L from the factorization A = L*D*L**H.
   *> \endverbatim
   *>
   *> \param[in,out] B
   *> \verbatim
   *>          B is DOUBLE PRECISION array, dimension (LDB,NRHS)
   *>          On entry, the right hand side vectors B for the system of
   *>          linear equations.
   *>          On exit, the solution vectors, X.
   *> \endverbatim
   *>
   *> \param[in] LDB
   *> \verbatim
   *>          LDB is INTEGER
   *>          The leading dimension of the array B.  LDB >= max(1,N).
   *> \endverbatim
   *>
   *> \param[out] INFO
   *> \verbatim
   *>          INFO is INTEGER
   *>          = 0: successful exit
   *>          < 0: if INFO = -k, the k-th argument had an illegal value
   *> \endverbatim
   *
   *  Authors:
   *  ========
   *
   *> \author Univ. of Tennessee 
   *> \author Univ. of California Berkeley 
   *> \author Univ. of Colorado Denver 
   *> \author NAG Ltd. 
   *
   *> \date November 2011
   *
   *> \ingroup complex16OTHERcomputational
   *
   *  =====================================================================
       SUBROUTINE ZPTTRS( UPLO, N, NRHS, D, E, B, LDB, INFO )        SUBROUTINE ZPTTRS( UPLO, N, NRHS, D, E, B, LDB, INFO )
 *  *
 *  -- LAPACK routine (version 3.3.1) --  *  -- LAPACK computational routine (version 3.4.0) --
 *  -- LAPACK is a software package provided by Univ. of Tennessee,    --  *  -- LAPACK is a software package provided by Univ. of Tennessee,    --
 *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--  *  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
 *  -- April 2011                                                      --  *     November 2011
 *  *
 *     .. Scalar Arguments ..  *     .. Scalar Arguments ..
       CHARACTER          UPLO        CHARACTER          UPLO
Line 14 Line 135
       COMPLEX*16         B( LDB, * ), E( * )        COMPLEX*16         B( LDB, * ), E( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZPTTRS solves a tridiagonal system of the form  
 *     A * X = B  
 *  using the factorization A = U**H *D* U or A = L*D*L**H computed by ZPTTRF.  
 *  D is a diagonal matrix specified in the vector D, U (or L) is a unit  
 *  bidiagonal matrix whose superdiagonal (subdiagonal) is specified in  
 *  the vector E, and X and B are N by NRHS matrices.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  UPLO    (input) CHARACTER*1  
 *          Specifies the form of the factorization and whether the  
 *          vector E is the superdiagonal of the upper bidiagonal factor  
 *          U or the subdiagonal of the lower bidiagonal factor L.  
 *          = 'U':  A = U**H *D*U, E is the superdiagonal of U  
 *          = 'L':  A = L*D*L**H, E is the subdiagonal of L  
 *  
 *  N       (input) INTEGER  
 *          The order of the tridiagonal 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.  
 *  
 *  D       (input) DOUBLE PRECISION array, dimension (N)  
 *          The n diagonal elements of the diagonal matrix D from the  
 *          factorization A = U**H *D*U or A = L*D*L**H.  
 *  
 *  E       (input) COMPLEX*16 array, dimension (N-1)  
 *          If UPLO = 'U', the (n-1) superdiagonal elements of the unit  
 *          bidiagonal factor U from the factorization A = U**H*D*U.  
 *          If UPLO = 'L', the (n-1) subdiagonal elements of the unit  
 *          bidiagonal factor L from the factorization A = L*D*L**H.  
 *  
 *  B       (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)  
 *          On entry, the right hand side vectors B for the system of  
 *          linear equations.  
 *          On exit, the solution vectors, X.  
 *  
 *  LDB     (input) INTEGER  
 *          The leading dimension of the array B.  LDB >= max(1,N).  
 *  
 *  INFO    (output) INTEGER  
 *          = 0: successful exit  
 *          < 0: if INFO = -k, the k-th argument had an illegal value  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. Local Scalars ..  *     .. Local Scalars ..

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  Added in v.1.9


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