QuantLib: a free/open-source library for quantitative finance
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expm.hpp
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1/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/*
4 Copyright (C) 2013 Klaus Spanderen
5
6 This file is part of QuantLib, a free-software/open-source library
7 for financial quantitative analysts and developers - http://quantlib.org/
8
9 QuantLib is free software: you can redistribute it and/or modify it
10 under the terms of the QuantLib license. You should have received a
11 copy 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
15 This program is distributed in the hope that it will be useful, but WITHOUT
16 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
17 FOR A PARTICULAR PURPOSE. See the license for more details.
18*/
19
20/*! \file expm.hpp
21 \brief matrix exponential
22*/
23
24#ifndef quantlib_expm_hpp
25#define quantlib_expm_hpp
26
27#include <ql/math/matrix.hpp>
28
29namespace QuantLib {
30
31 //! matrix exponential based on the ordinary differential equations method
32
33 /*! References:
34
35 C. Moler; C. Van Loan, 1978,
36 Nineteen Dubious Ways to Compute the Exponential of a Matrix
37 http://xa.yimg.com/kq/groups/22199541/1399635765/name/moler-nineteen.pdf
38 */
39
40 //! returns the matrix exponential exp(t*M)
41 Matrix Expm(const Matrix& M, Real t=1.0, Real tol=QL_EPSILON);
42}
43
44#endif
const DefaultType & t
#define QL_EPSILON
Definition: qldefines.hpp:178
QL_REAL Real
real number
Definition: types.hpp:50
matrix used in linear algebra.
Definition: any.hpp:35
Matrix Expm(const Matrix &M, Real t, Real tol)
matrix exponential based on the ordinary differential equations method
Definition: expm.cpp:53