#include <GteLinearSystem.h>

Public Types
typedef std::map< std::array< int, 2 >, Real >	SparseMatrix

Static Public Member Functions
static bool	Solve (Matrix2x2< Real > const &A, Vector2< Real > const &B, Vector2< Real > &X)

static bool	Solve (Matrix3x3< Real > const &A, Vector3< Real > const &B, Vector3< Real > &X)

static bool	Solve (Matrix4x4< Real > const &A, Vector4< Real > const &B, Vector4< Real > &X)

static bool	Solve (int N, Real const A, Real const B, Real *X)

static bool	Solve (int N, int M, Real const A, Real const B, Real *X)

static bool	SolveConstantTridiagonal (int N, Real subdiagonal, Real diagonal, Real superdiagonal, Real const B, Real X)

static unsigned int	SolveSymmetricCG (int N, Real const A, Real const B, Real *X, unsigned int maxIterations, Real tolerance)

static unsigned int	SolveSymmetricCG (int N, SparseMatrix const &A, Real const B, Real X, unsigned int maxIterations, Real tolerance)

static bool	SolveTridiagonal (int N, Real const subdiagonal, Real const diagonal, Real const superdiagonal, Real const B, Real *X)

Static Private Member Functions
static Real	Dot (int N, Real const U, Real const V)

static void	Mul (int N, Real const A, Real const X, Real *P)

static void	Mul (int N, SparseMatrix const &A, Real const X, Real P)

static void	UpdateP (int N, Real P, Real beta, Real const R)

static void	UpdateR (int N, Real R, Real alpha, Real const W)

static void	UpdateX (int N, Real X, Real alpha, Real const P)

Detailed Description

template<typename Real>
class gte::LinearSystem< Real >

Definition at line 33 of file GteLinearSystem.h.

Member Typedef Documentation

template<typename Real >

typedef std::map<std::array<int, 2>, Real> gte::LinearSystem< Real >::SparseMatrix

Definition at line 84 of file GteLinearSystem.h.

Member Function Documentation

template<typename Real >

Real gte::LinearSystem< Real >::Dot	(	int	N,
		Real const *	U,
		Real const *	V
	)

staticprivate

Definition at line 326 of file GteLinearSystem.h.

template<typename Real >

void gte::LinearSystem< Real >::Mul	(	int	N,
		Real const *	A,
		Real const *	X,
		Real *	P
	)

staticprivate

Definition at line 337 of file GteLinearSystem.h.

template<typename Real >

void gte::LinearSystem< Real >::Mul	(	int	N,
		SparseMatrix const &	A,
		Real const *	X,
		Real *	P
	)

staticprivate

Definition at line 356 of file GteLinearSystem.h.

template<typename Real >

bool gte::LinearSystem< Real >::Solve	(	Matrix2x2< Real > const &	A,
		Vector2< Real > const &	B,
		Vector2< Real > &	X
	)

static

Definition at line 100 of file GteLinearSystem.h.

template<typename Real >

bool gte::LinearSystem< Real >::Solve	(	Matrix3x3< Real > const &	A,
		Vector3< Real > const &	B,
		Vector3< Real > &	X
	)

static

Definition at line 117 of file GteLinearSystem.h.

template<typename Real >

bool gte::LinearSystem< Real >::Solve	(	Matrix4x4< Real > const &	A,
		Vector4< Real > const &	B,
		Vector4< Real > &	X
	)

static

Definition at line 134 of file GteLinearSystem.h.

template<typename Real >

bool gte::LinearSystem< Real >::Solve	(	int	N,
		Real const *	A,
		Real const *	B,
		Real *	X
	)

static

Definition at line 151 of file GteLinearSystem.h.

template<typename Real >

bool gte::LinearSystem< Real >::Solve	(	int	N,
		int	M,
		Real const *	A,
		Real const *	B,
		Real *	X
	)

static

Definition at line 159 of file GteLinearSystem.h.

template<typename Real >

bool gte::LinearSystem< Real >::SolveConstantTridiagonal	(	int	N,
		Real	subdiagonal,
		Real	diagonal,
		Real	superdiagonal,
		Real const *	B,
		Real *	X
	)

static

Definition at line 203 of file GteLinearSystem.h.

template<typename Real >

unsigned int gte::LinearSystem< Real >::SolveSymmetricCG	(	int	N,
		Real const *	A,
		Real const *	B,
		Real *	X,
		unsigned int	maxIterations,
		Real	tolerance
	)

static

Definition at line 237 of file GteLinearSystem.h.

template<typename Real >

unsigned int gte::LinearSystem< Real >::SolveSymmetricCG	(	int	N,
		SparseMatrix const &	A,
		Real const *	B,
		Real *	X,
		unsigned int	maxIterations,
		Real	tolerance
	)

static

Definition at line 281 of file GteLinearSystem.h.

template<typename Real >

bool gte::LinearSystem< Real >::SolveTridiagonal	(	int	N,
		Real const *	subdiagonal,
		Real const *	diagonal,
		Real const *	superdiagonal,
		Real const *	B,
		Real *	X
	)

static

Definition at line 168 of file GteLinearSystem.h.

template<typename Real >

void gte::LinearSystem< Real >::UpdateP	(	int	N,
		Real *	P,
		Real	beta,
		Real const *	R
	)

staticprivate

Definition at line 392 of file GteLinearSystem.h.

template<typename Real >

void gte::LinearSystem< Real >::UpdateR	(	int	N,
		Real *	R,
		Real	alpha,
		Real const *	W
	)

staticprivate

Definition at line 383 of file GteLinearSystem.h.

template<typename Real >

void gte::LinearSystem< Real >::UpdateX	(	int	N,
		Real *	X,
		Real	alpha,
		Real const *	P
	)

staticprivate

Definition at line 374 of file GteLinearSystem.h.

The documentation for this class was generated from the following file:

GteLinearSystem.h

Public Types

Static Public Member Functions

Static Private Member Functions

Detailed Description

template<typename Real> class gte::LinearSystem< Real >

Member Typedef Documentation

Member Function Documentation

template<typename Real>
class gte::LinearSystem< Real >