QuantLib: a free/open-source library for quantitative finance
fully annotated source code - version 1.34
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sparseilupreconditioner.hpp
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1/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/*
4Copyright (C) 2009 Ralph Schreyer
5
6This file is part of QuantLib, a free-software/open-source library
7for financial quantitative analysts and developers - http://quantlib.org/
8
9QuantLib is free software: you can redistribute it and/or modify it
10under the terms of the QuantLib license. You should have received a
11copy of the license along with this program; if not, please email
12<quantlib-dev@lists.sf.net>. The license is also available online at
13<http://quantlib.org/license.shtml>.
14
15This program is distributed in the hope that it will be useful, but WITHOUT
16ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
17FOR A PARTICULAR PURPOSE. See the license for more details.
18*/
19
20/*! \file sparseilupreconditioner.hpp
21 \brief Preconditioner using the Incomplete LU algorithm and sparse matrices
22*/
23
24#ifndef quantlib_sparse_ilu_preconditioner_hpp
25#define quantlib_sparse_ilu_preconditioner_hpp
26
27#include <ql/math/array.hpp>
29
30namespace QuantLib {
31
32 /*! References:
33 Saad, Yousef. 1996, Iterative methods for sparse linear systems,
34 http://www-users.cs.umn.edu/~saad/books.html
35 */
37 public:
38 explicit SparseILUPreconditioner(const SparseMatrix& A, Integer lfil = 1);
39
40 const SparseMatrix& L() const;
41 const SparseMatrix& U() const;
42
43 Array apply(const Array& b) const;
44
45 private:
47 std::vector<Size> lBands_, uBands_;
48
49 Array forwardSolve(const Array& b) const;
50 Array backwardSolve(const Array& y) const;
51 };
52
53}
54
55#endif
1-D array used in linear algebra.
1-D array used in linear algebra.
Definition: array.hpp:52
Array backwardSolve(const Array &y) const
Array forwardSolve(const Array &b) const
ext::function< Real(Real)> b
QL_INTEGER Integer
integer number
Definition: types.hpp:35
Definition: any.hpp:35
boost::numeric::ublas::compressed_matrix< Real > SparseMatrix
typedef for boost sparse matrix class