LUDecomposition.h File Reference

#include "tarch/Assertions.h"
#include "tarch/la/DynamicMatrix.h"
#include "tarch/la/Matrix.h"
#include "tarch/la/Vector.h"
#include "tarch/la/LUDecomposition.cpph"

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Namespaces
namespace	tarch
	Have to include this header, as I need access to the SYCL_EXTERNAL keyword.
namespace	tarch::la
	My collection of tiny vector operations.

Functions
template<int Rows, typename Scalar >
void	tarch::la::lu (Matrix< Rows, Rows, Scalar > &A, Vector< Rows, int > &pivots)
	Performs an in-situ LU-decomposition of the square matrix A.
template<int Rows, typename Scalar >
void	tarch::la::lu (Matrix< Rows, Rows, Scalar > &A)
	In-situ LU without pivoting.
template<int Rows, typename Scalar >
Vector< Rows, Scalar >	tarch::la::backSubstitution (const Matrix< Rows, Rows, Scalar > &R, const Vector< Rows, Scalar > &f)
	Back substitution following LU decomposition.
void	tarch::la::backSubstitution (const DynamicMatrix &R, const double *f, double *x)
DynamicMatrix	tarch::la::invertUpperTriangular (const DynamicMatrix &R)
template<int Rows, typename Scalar >
Matrix< Rows, Rows, Scalar >	tarch::la::invert (const Matrix< Rows, Rows, Scalar > &M)
	Invert matrix with LU decomposition.
template<typename Scalar >
Matrix< 2, 2, Scalar >	tarch::la::invert (const Matrix< 2, 2, Scalar > &M)
	Specialisation of inversion.
template<typename Scalar >
Matrix< 3, 3, Scalar >	tarch::la::invert (const Matrix< 3, 3, Scalar > &M)
	Specialisation of inversion.
template<typename Scalar >
double	tarch::la::det (const Matrix< 2, 2, Scalar > &R)
template<typename Scalar >
double	tarch::la::det (const Matrix< 3, 3, Scalar > &R)