schur.h

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/*********************************************************************
 *
 *  Software License Agreement
 *
 *  Copyright (c) 2020,
 *  TU Dortmund - Institute of Control Theory and Systems Engineering.
 *  All rights reserved.
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 *  This program is free software: you can redistribute it and/or modify
 *  it under the terms of the GNU General Public License as published by
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 *  Authors: Christoph Rösmann
 *********************************************************************/
 
#ifndef SRC_NUMERICS_INCLUDE_CORBO_NUMERICS_SCHUR_H_
#define SRC_NUMERICS_INCLUDE_CORBO_NUMERICS_SCHUR_H_
 
#include <Eigen/Core>
 
namespace corbo {
 
void schur_decomposition_2d(Eigen::Ref<Eigen::Matrix2d> T, Eigen::Ref<Eigen::Matrix2d> U);
 
bool swap_schur_blocks(Eigen::Ref<Eigen::MatrixXd> T, int ra11, int p, int q, Eigen::Ref<Eigen::MatrixXd> Q, bool standardize = false);
 
template <class Predicate>
bool reorder_schur_blocks(Eigen::Ref<Eigen::MatrixXd> T, Eigen::Ref<Eigen::MatrixXd> Q, Predicate predicate, int* subspace_dim = nullptr,
                          bool standardize = false);
 
}  // namespace corbo
 
#include <corbo-numerics/schur.hpp>
 
#endif  // SRC_NUMERICS_INCLUDE_CORBO_NUMERICS_SCHUR_H_