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version 1.8, 2011/07/22 07:38:19 version 1.9, 2011/11/21 20:43:20
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   *> \brief \b ZPTSV
   *
   *  =========== DOCUMENTATION ===========
   *
   * Online html documentation available at 
   *            http://www.netlib.org/lapack/explore-html/ 
   *
   *> \htmlonly
   *> Download ZPTSV + dependencies 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zptsv.f"> 
   *> [TGZ]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zptsv.f"> 
   *> [ZIP]</a> 
   *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zptsv.f"> 
   *> [TXT]</a>
   *> \endhtmlonly 
   *
   *  Definition:
   *  ===========
   *
   *       SUBROUTINE ZPTSV( N, NRHS, D, E, B, LDB, INFO )
   * 
   *       .. Scalar Arguments ..
   *       INTEGER            INFO, LDB, N, NRHS
   *       ..
   *       .. Array Arguments ..
   *       DOUBLE PRECISION   D( * )
   *       COMPLEX*16         B( LDB, * ), E( * )
   *       ..
   *  
   *
   *> \par Purpose:
   *  =============
   *>
   *> \verbatim
   *>
   *> ZPTSV computes the solution to a complex system of linear equations
   *> A*X = B, where A is an N-by-N Hermitian positive definite tridiagonal
   *> matrix, and X and B are N-by-NRHS matrices.
   *>
   *> A is factored as A = L*D*L**H, and the factored form of A is then
   *> used to solve the system of equations.
   *> \endverbatim
   *
   *  Arguments:
   *  ==========
   *
   *> \param[in] N
   *> \verbatim
   *>          N is INTEGER
   *>          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] D
   *> \verbatim
   *>          D is DOUBLE PRECISION array, dimension (N)
   *>          On entry, the n diagonal elements of the tridiagonal matrix
   *>          A.  On exit, the n diagonal elements of the diagonal matrix
   *>          D from the factorization A = L*D*L**H.
   *> \endverbatim
   *>
   *> \param[in,out] E
   *> \verbatim
   *>          E is COMPLEX*16 array, dimension (N-1)
   *>          On entry, the (n-1) subdiagonal elements of the tridiagonal
   *>          matrix A.  On exit, the (n-1) subdiagonal elements of the
   *>          unit bidiagonal factor L from the L*D*L**H factorization of
   *>          A.  E can also be regarded as the superdiagonal of the unit
   *>          bidiagonal factor U from the U**H*D*U factorization of A.
   *> \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] INFO
   *> \verbatim
   *>          INFO is INTEGER
   *>          = 0:  successful exit
   *>          < 0:  if INFO = -i, the i-th argument had an illegal value
   *>          > 0:  if INFO = i, the leading minor of order i is not
   *>                positive definite, and the solution has not been
   *>                computed.  The factorization has not been completed
   *>                unless i = N.
   *> \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 ZPTSV( N, NRHS, D, E, B, LDB, INFO )        SUBROUTINE ZPTSV( 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 ..
       INTEGER            INFO, LDB, N, NRHS        INTEGER            INFO, LDB, N, NRHS
Line 13 Line 128
       COMPLEX*16         B( LDB, * ), E( * )        COMPLEX*16         B( LDB, * ), E( * )
 *     ..  *     ..
 *  *
 *  Purpose  
 *  =======  
 *  
 *  ZPTSV computes the solution to a complex system of linear equations  
 *  A*X = B, where A is an N-by-N Hermitian positive definite tridiagonal  
 *  matrix, and X and B are N-by-NRHS matrices.  
 *  
 *  A is factored as A = L*D*L**H, and the factored form of A is then  
 *  used to solve the system of equations.  
 *  
 *  Arguments  
 *  =========  
 *  
 *  N       (input) INTEGER  
 *          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.  
 *  
 *  D       (input/output) DOUBLE PRECISION array, dimension (N)  
 *          On entry, the n diagonal elements of the tridiagonal matrix  
 *          A.  On exit, the n diagonal elements of the diagonal matrix  
 *          D from the factorization A = L*D*L**H.  
 *  
 *  E       (input/output) COMPLEX*16 array, dimension (N-1)  
 *          On entry, the (n-1) subdiagonal elements of the tridiagonal  
 *          matrix A.  On exit, the (n-1) subdiagonal elements of the  
 *          unit bidiagonal factor L from the L*D*L**H factorization of  
 *          A.  E can also be regarded as the superdiagonal of the unit  
 *          bidiagonal factor U from the U**H*D*U factorization of A.  
 *  
 *  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).  
 *  
 *  INFO    (output) INTEGER  
 *          = 0:  successful exit  
 *          < 0:  if INFO = -i, the i-th argument had an illegal value  
 *          > 0:  if INFO = i, the leading minor of order i is not  
 *                positive definite, and the solution has not been  
 *                computed.  The factorization has not been completed  
 *                unless i = N.  
 *  
 *  =====================================================================  *  =====================================================================
 *  *
 *     .. External Subroutines ..  *     .. External Subroutines ..
Removed from v.1.8  
changed lines
  Added in v.1.9

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