linsys.hpp

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#ifndef LINSYS_HPP
#define LINSYS_HPP
 
#include <utility>
#include <vector>
 
namespace gpmp {
 
namespace linalg {
 
class LinSys {
  public:
    std::vector<std::vector<double>> matrix;
    int num_rows;
    int num_cols;
 
    LinSys(const std::vector<std::vector<double>> &mat);
 
    void display_mtx() const;
 
    void display(const std::vector<std::vector<double>> &mat) const;
 
    std::vector<double> solve_gauss();
 
    double determinant() const;
 
    void invert_mtx();
 
    std::pair<std::vector<std::vector<double>>,
              std::vector<std::vector<double>>>
    lu_decomp();
 
    void solve_lu();
 
    void solve_cholesky();
 
    void solve_jacobi(int maxIterations = 100, double tolerance = 1e-10);
 
    bool is_symmetric() const;
 
    double frobenius_norm() const;
 
    double one_norm() const;
 
    double inf_norm() const;
 
    void gram_schmidt();
 
    bool diagonally_dominant() const;
 
    bool is_consistent() const;
 
    bool is_homogeneous() const;
};
} // namespace linalg
} // namespace gpmp
 
#endif