QuantLib: a free/open-source library for quantitative finance
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tqreigendecomposition.hpp
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1/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
2
3/*
4 Copyright (C) 2005 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 tqreigendecomposition.hpp
21 \brief tridiag. QR eigen decomposition with explicite shift aka Wilkinson
22*/
23
24#ifndef quantlib_tqr_eigen_decomposition_hpp
25#define quantlib_tqr_eigen_decomposition_hpp
26
27#include <ql/math/array.hpp>
28#include <ql/math/matrix.hpp>
29
30namespace QuantLib {
31
32 //! tridiag. QR eigen decomposition with explicite shift aka Wilkinson
33 /*! References:
34
35 Wilkinson, J.H. and Reinsch, C. 1971, Linear Algebra, vol. II of
36 Handbook for Automatic Computation (New York: Springer-Verlag)
37
38 "Numerical Recipes in C", 2nd edition,
39 Press, Teukolsky, Vetterling, Flannery,
40
41 \test the correctness of the result is tested by checking it
42 against known good values.
43 */
45 public:
49
53
54 TqrEigenDecomposition(const Array& diag,
55 const Array& sub,
58
59 const Array& eigenvalues() const { return d_; }
60 const Matrix& eigenvectors() const { return ev_; }
61
62 Size iterations() const { return iter_; }
63
64 private:
65 bool offDiagIsZero(Size k, Array& e);
66
70 };
71
72}
73
74
75#endif
1-D array used in linear algebra.
1-D array used in linear algebra.
Definition: array.hpp:52
Matrix used in linear algebra.
Definition: matrix.hpp:41
tridiag. QR eigen decomposition with explicite shift aka Wilkinson
std::size_t Size
size of a container
Definition: types.hpp:58
matrix used in linear algebra.
Definition: any.hpp:35