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/*!
* \file
* \brief Definitions of matrix inversion routines
* \author Tony Ottosson
*
* -------------------------------------------------------------------------
*
* Copyright (C) 1995-2008 (see AUTHORS file for a list of contributors)
*
* This file is part of IT++ - a C++ library of mathematical, signal
* processing, speech processing, and communications classes and functions.
*
* IT++ is free software: 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 3 of the License, or (at your option) any
* later version.
*
* IT++ 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 General Public License for more
* details.
*
* You should have received a copy of the GNU General Public License along
* with IT++. If not, see <http://www.gnu.org/licenses/>.
*
* -------------------------------------------------------------------------
*/
#ifndef INV_H
#define INV_H
#include <itpp/base/mat.h>
namespace itpp {
/*!
\brief Inverse of real square matrix.
\ingroup inverse
Calculate the inverse of the real matrix \f$\mathbf{X}\f$
Solves the equation system \f$ \mathbf{Y} \mathbf{X} = \mathbf{I}\f$ using LU-factorization.
IT++ needs to be compiled with the LAPACK for the inverse to be available.
*/
bool inv(const mat &X, mat &Y);
/*!
\brief Inverse of real square matrix.
\ingroup inverse
Calculate the inverse of the real matrix \f$\mathbf{X}\f$
Solves the equation system \f$ \mathbf{Y} \mathbf{X} = \mathbf{I}\f$ using LU-factorization.
IT++ needs to be compiled with LAPACK support for the inverse to be available.
*/
mat inv(const mat &X);
/*!
\brief Inverse of complex square matrix.
\ingroup inverse
Calculate the inverse of the complex matrix \f$\mathbf{X}\f$
Solves the equation system \f$ \mathbf{Y} \mathbf{X} = \mathbf{I}\f$ using LU-factorization.
IT++ needs to be compiled with LAPACK support for the inverse to be available.
*/
bool inv(const cmat &X, cmat &Y);
/*!
\brief Inverse of real square matrix.
\ingroup inverse
Calculate the inverse of the complex matrix \f$\mathbf{X}\f$
Solves the equation system \f$ \mathbf{Y} \mathbf{X} = \mathbf{I}\f$ using LU-factorization.
IT++ needs to be compiled with the LAPACK for the inverse to be available.
*/
cmat inv(const cmat &X);
} // namespace itpp
#endif // #ifndef INV_H

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