QuantLib
: a free/open-source library for quantitative finance
fully annotated source code - version 1.34
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ql
math
matrixutilities
expm.hpp
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/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
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/*
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Copyright (C) 2013 Klaus Spanderen
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This file is part of QuantLib, a free-software/open-source library
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for financial quantitative analysts and developers - http://quantlib.org/
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QuantLib is free software: you can redistribute it and/or modify it
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under the terms of the QuantLib license. You should have received a
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copy of the license along with this program; if not, please email
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<quantlib-dev@lists.sf.net>. The license is also available online at
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<http://quantlib.org/license.shtml>.
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This program is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the license for more details.
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*/
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/*! \file expm.hpp
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\brief matrix exponential
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*/
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#ifndef quantlib_expm_hpp
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#define quantlib_expm_hpp
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#include <
ql/math/matrix.hpp
>
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namespace
QuantLib
{
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//! matrix exponential based on the ordinary differential equations method
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/*! References:
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C. Moler; C. Van Loan, 1978,
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Nineteen Dubious Ways to Compute the Exponential of a Matrix
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http://xa.yimg.com/kq/groups/22199541/1399635765/name/moler-nineteen.pdf
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*/
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//! returns the matrix exponential exp(t*M)
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Matrix
Expm
(
const
Matrix& M,
Real
t
=1.0,
Real
tol=
QL_EPSILON
);
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}
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#endif
t
const DefaultType & t
Definition:
defaultprobabilitykey.cpp:39
QL_EPSILON
#define QL_EPSILON
Definition:
qldefines.hpp:178
QuantLib::Real
QL_REAL Real
real number
Definition:
types.hpp:50
matrix.hpp
matrix used in linear algebra.
QuantLib
Definition:
any.hpp:35
QuantLib::Expm
Matrix Expm(const Matrix &M, Real t, Real tol)
matrix exponential based on the ordinary differential equations method
Definition:
expm.cpp:53
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