<commit_before>//----------------------------  sparse_ilu.h  ---------------------------
//    Copyright (C) 1998, 1999, 2000, 2001, 2002
//    by the deal.II authors and <NAME>" Kolaroff
//
//    This file is subject to QPL and may not be  distributed
//    without copyright and license information. Please refer
//    to the file deal.II/doc/license.html for the  text  and
//    further information on this license.
//
//----------------------------  sparse_ilu.h  ---------------------------

#ifndef __deal2__sparse_ilu_h
#define __deal2__sparse_ilu_h


#include <base/config.h>
#include <lac/sparse_matrix.h>
#include <lac/sparse_decomposition.h>


/**
 * Incomplete LU decomposition of a sparse matrix into another sparse matrix.
 * A given matrix is decomposed into a incomplete LU factorization, where
 * by incomplete we mean that also a sparse decomposition is used and entries
 * in the decomposition that do not fit into the sparsity structure of this
 * object are discarded.
 *
 * The algorithm used by this class is as follows (indices run from @p{0}
 * to @p{N-1}):
 * @begin{verbatim}
 * copy original matrix into a[i,j]
 * 
 * for i=1..N-1
 *   a[i-1,i-1] = a[i-1,i-1]^{-1}
 *
 *   for k=0..i-1
 *     a[i,k] = a[i,k] * a[k,k]
 *
 *     for j=k+1..N-1
 *      if (a[i,j] exists & a[k,j] exists)
 *        a[i,j] -= a[i,k] * a[k,j]
 * @end{verbatim}
 *
 * 
 * @sect2{Usage and state management}
 *
 * Refer to @ref{SparseLUDecomposition} documentation for suggested
 * usage and state management.
 *
 * 
 * @sect2{On template instantiations}
 *
 * Member functions of this class are either implemented in this file
 * or in a file of the same name with suffix ``.templates.h''. For the
 * most common combinations of the template parameters, instantiations
 * of this class are provided in a file with suffix ``.cc'' in the
 * ``source'' directory. If you need an instantiation that is not
 * listed there, you have to include this file along with the
 * corresponding ``.templates.h'' file and instantiate the respective
 * class yourself.
 *
 * @author <NAME>, 1999, based on a similar implementation by <NAME>
 */
template <typename number>
class SparseILU : public SparseLUDecomposition<number>
{
  public:
                                     /**
                                      * Constructor. Does nothing, so
                                      * you have to call @p{reinit}
                                      * sometimes afterwards.
                                      */
    SparseILU ();

                                     /**
                                      * Constructor. Initialize the
                                      * sparsity pattern of this
                                      * object with the given
                                      * argument.
                                      */
    SparseILU (const SparsityPattern &sparsity);
    
    typedef SparseLUDecomposition<number>::AdditionalData AdditionalData;

				     /**
				      * Perform the incomplete LU
				      * factorization of the given
				      * matrix.
				      *<commit_msg>Add missing "typename".<commit_after>//----------------------------  sparse_ilu.h  ---------------------------
//    Copyright (C) 1998, 1999, 2000, 2001, 2002
//    by the deal.II authors and <NAME>
//
//    This file is subject to QPL and may not be  distributed
//    without copyright and license information. Please refer
//    to the file deal.II/doc/license.html for the  text  and
//    further information on this license.
//
//----------------------------  sparse_ilu.h  ---------------------------

#ifndef __deal2__sparse_ilu_h
#define __deal2__sparse_ilu_h


#include <base/config.h>
#include <lac/sparse_matrix.h>
#include <lac/sparse_decomposition.h>


/**
 * Incomplete LU decomposition of a sparse matrix into another sparse matrix.
 * A given matrix is decomposed into a incomplete LU factorization, where
 * by incomplete we mean that also a sparse decomposition is used and entries
 * in the decomposition that do not fit into the sparsity structure of this
 * object are discarded.
 *
 * The algorithm used by this class is as follows (indices run from @p{0}
 * to @p{N-1}):
 * @begin{verbatim}
 * copy original matrix into a[i,j]
 * 
 * for i=1..N-1
 *   a[i-1,i-1] = a[i-1,i-1]^{-1}
 *
 *   for k=0..i-1
 *     a[i,k] = a[i,k] * a[k,k]
 *
 *     for j=k+1..N-1
 *      if (a[i,j] exists & a[k,j] exists)
 *        a[i,j] -= a[i,k] * a[k,j]
 * @end{verbatim}
 *
 * 
 * @sect2{Usage and state management}
 *
 * Refer to @ref{SparseLUDecomposition} documentation for suggested
 * usage and state management.
 *
 * 
 * @sect2{On template instantiations}
 *
 * Member functions of this class are either implemented in this file
 * or in a file of the same name with suffix ``.templates.h''. For the
 * most common combinations of the template parameters, instantiations
 * of this class are provided in a file with suffix ``.cc'' in the
 * ``source'' directory. If you need an instantiation that is not
 * listed there, you have to include this file along with the
 * corresponding ``.templates.h'' file and instantiate the respective
 * class yourself.
 *
 * @author <NAME>, 1999, based on a similar implementation by <NAME>
 */
template <typename number>
class SparseILU : public SparseLUDecomposition<number>
{
  public:
                                     /**
                                      * Constructor. Does nothing, so
                                      * you have to call @p{reinit}
                                      * sometimes afterwards.
                                      */
    SparseILU ();

                                     /**
                                      * Constructor. Initialize the
                                      * sparsity pattern of this
                                      * object with the given
                                      * argument.
                                      */
    SparseILU (const SparsityPattern &sparsity);
    
    typedef typename SparseLUDecomposition<number>::AdditionalData AdditionalData;

				     /**
				      * Perform the incomplete LU
				      * factorization of the given
				      * matrix.
				      *
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