eigen/unsupported/Eigen/MatrixFunctions
2010-01-21 12:31:03 +00:00

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// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2009 Jitse Niesen <jitse@maths.leeds.ac.uk>
//
// Eigen is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// Alternatively, you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation; either version 2 of
// the License, or (at your option) any later version.
//
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.
#ifndef EIGEN_MATRIX_FUNCTIONS
#define EIGEN_MATRIX_FUNCTIONS
#include <list>
#include <functional>
#include <iterator>
#include <Eigen/Core>
#include <Eigen/LU>
#include <Eigen/Eigenvalues>
namespace Eigen {
/** \ingroup Unsupported_modules
* \defgroup MatrixFunctions_Module Matrix functions module
* \brief This module aims to provide various methods for the computation of
* matrix functions.
*
* %Matrix functions are defined as follows. Suppose that \f$ f \f$
* is an entire function (that is, a function on the complex plane
* that is everywhere complex differentiable). Then its Taylor
* series
* \f[ f(0) + f'(0) x + \frac{f''(0)}{2} x^2 + \frac{f'''(0)}{3!} x^3 + \cdots \f]
* converges to \f$ f(x) \f$. In this case, we can define the matrix
* function by the same series:
* \f[ f(M) = f(0) + f'(0) M + \frac{f''(0)}{2} M^2 + \frac{f'''(0)}{3!} M^3 + \cdots \f]
*
* \code
* #include <unsupported/Eigen/MatrixFunctions>
* \endcode
*/
#include "src/MatrixFunctions/MatrixExponential.h"
#include "src/MatrixFunctions/MatrixFunction.h"
}
#endif // EIGEN_MATRIX_FUNCTIONS