MatrixOperations.h

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// This file is part of the Peano project. For conditions of distribution and
// use, please see the copyright notice at www.peano-framework.org
#pragma once
 
 
#include "tarch/la/Matrix.h"
#include "tarch/la/Vector.h"
 
#include <sstream>
#include <cmath>
 
namespace tarch {
  namespace la {
    template<int Rows, int Cols, typename Scalar>
    Scalar sum (const Matrix<Rows,Cols,Scalar>& matrix);
 
 
    template<int Rows, int Cols, typename Scalar>
    Matrix<Cols,Rows,Scalar> transpose(const Matrix<Rows,Cols,Scalar>& matrix);
 
    template<int Rows, typename Scalar>
    static Matrix<Rows, Rows, Scalar> identity();
 
    template<int Rows, typename Scalar>
    Vector<Rows,Scalar> diag(const Matrix<Rows,Rows,Scalar>& matrix);
 
    template<int Rows, int Cols, typename Scalar>
    Vector<Cols,Scalar> row(const Matrix<Rows,Cols,Scalar>& matrix, int whichRow);
 
    template<int Rows, int Cols, typename Scalar>
    Vector<Rows,Scalar> col(const Matrix<Rows,Cols,Scalar>& matrix, int whichColumn);
 
    template<int Rows, int Cols, typename Scalar>
    Matrix<Rows,Cols,Scalar> invertEntries (
      const Matrix<Rows,Cols,Scalar>&  matrix
    );
 
    template<int Rows, int Cols, typename Scalar>
    Scalar frobeniusNorm(
      const Matrix<Rows,Cols,Scalar>&  matrix
    );
 
    template<int Rows, int Cols, typename Scalar>
    Scalar elementMax(
      const Matrix<Rows,Cols,Scalar>&  matrix
    );
  }
}
 
 
 
template<int Rows, int Cols, typename Scalar>
std::ostream&  operator<<(std::ostream& os, const tarch::la::Matrix<Rows,Cols,Scalar>&  matrix);
 
 
#include "tarch/la/MatrixOperations.cpph"