UT_MatrixIterSolver Class Reference

#include <UT_MatrixSolver.h>

List of all members.

Public Member Functions
float	PCG (void(*AMult)(const UT_VectorD &x, UT_VectorD &result), void(*ASolve)(const UT_VectorD &b, UT_VectorD &x), int n, UT_VectorD &x, const UT_VectorD &b, float tol=1e-3F, int normType=2, int maxIter=-1)
float	PCG (void(*AMult)(const UT_VectorF &x, UT_VectorF &result), void(*ASolve)(const UT_VectorF &b, UT_VectorF &x), int n, UT_VectorF &x, const UT_VectorF &b, float tol=1e-3F, int normType=2, int maxIter=-1)
float	PCGLS (void(*AMult)(const UT_Vector &x, UT_Vector &result, int transpose), void(*AtASolve)(const UT_Vector &b, UT_Vector &x), int m, int n, UT_Vector &x, const UT_Vector &b, float tol=1e-3F, int normType=2, int maxIter=-1)
float	biPCG (void(*AMult)(const UT_Vector &x, UT_Vector &result, int transpose), void(*ASolve)(const UT_Vector &b, UT_Vector &x, int transpose), int n, UT_Vector &x, const UT_Vector &b, float tol=1e-3F, int normType=2, int maxIter=-1)
Static Public Member Functions
static void	PCG (UT_Vector &x, const UT_Vector &b, const UT_Functor2< void, const UT_Vector &, UT_Vector & > &AMult, const UT_Functor2< void, const UT_Vector &, UT_Vector & > &ASolve, const UT_Functor2< bool, int, const UT_Vector & > &iterateTest)

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Detailed Description

Definition at line 427 of file UT_MatrixSolver.h.

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Member Function Documentation

float UT_MatrixIterSolver::biPCG	(	void(*)(const UT_Vector &x, UT_Vector &result, int transpose)	AMult,
		void(*)(const UT_Vector &b, UT_Vector &x, int transpose)	ASolve,
		int	n,
		UT_Vector &	x,
		const UT_Vector &	b,
		float	tol = 1e-3F,
		int	normType = 2,
		int	maxIter = -1
	)

Preconditioned Conjugate Gradient method for solving Ax=b, given the matrix A[0..m-1][0..n-1] indirectly through AMult (ie. Ax if int = 0 or A^tx if int = 1), a preconditioner for A through ASolve, the vector b[0..m-1] and an initial guess x[0..n-1]. maxIter defaults to 2n. error |b-Ax|/|b| < tol. normType indicates the type of norm used for error: 0 L-infinity norm (ie. max) 1 L1-norm (ie. sum of abs) 2 L2-norm (ie. Euclidean distance) Output: x[0..n-1] and error.

static void UT_MatrixIterSolver::PCG	(	UT_Vector &	x,
		const UT_Vector &	b,
		const UT_Functor2< void, const UT_Vector &, UT_Vector & > &	AMult,
		const UT_Functor2< void, const UT_Vector &, UT_Vector & > &	ASolve,
		const UT_Functor2< bool, int, const UT_Vector & > &	iterateTest
	)			[static]

Preconditioned Conjugate Gradient method for solving Ax=b with the symmetric positive definite matrix A, preconditioner, and iteration conditions implicitly defined by functors.

float UT_MatrixIterSolver::PCG	(	void(*)(const UT_VectorF &x, UT_VectorF &result)	AMult,
		void(*)(const UT_VectorF &b, UT_VectorF &x)	ASolve,
		int	n,
		UT_VectorF &	x,
		const UT_VectorF &	b,
		float	tol = 1e-3F,
		int	normType = 2,
		int	maxIter = -1
	)

float UT_MatrixIterSolver::PCG	(	void(*)(const UT_VectorD &x, UT_VectorD &result)	AMult,
		void(*)(const UT_VectorD &b, UT_VectorD &x)	ASolve,
		int	n,
		UT_VectorD &	x,
		const UT_VectorD &	b,
		float	tol = 1e-3F,
		int	normType = 2,
		int	maxIter = -1
	)

Preconditioned Conjugate Gradient method for solving Ax=b, given the symmetric positive definite matrix A[0..n-1][0..n-1] indirectly through AMult (ie. Ax), a preconditioner for A through ASolve, the vector b[0..n-1] and an initial guess x[0..n-1]. maxIter defaults to 2n. error |b-Ax|/|b| < tol. normType indicates the type of norm used for error: 0 L-infinity norm (ie. max) 1 L1-norm (ie. sum of abs) 2 L2-norm (ie. Euclidean distance) Output: x[0..n-1] and error.

float UT_MatrixIterSolver::PCGLS	(	void(*)(const UT_Vector &x, UT_Vector &result, int transpose)	AMult,
		void(*)(const UT_Vector &b, UT_Vector &x)	AtASolve,
		int	m,
		int	n,
		UT_Vector &	x,
		const UT_Vector &	b,
		float	tol = 1e-3F,
		int	normType = 2,
		int	maxIter = -1
	)

Preconditioned Conjugate Gradient method for solving least squares Ax=b, given the matrix A[0..m-1][0..n-1] indirectly through AMult (ie. Ax if int = 0 or A^tx if int = 1), a preconditioner for A^tA through AtASolve, the vector b[0..m-1] and an initial guess x[0..n-1]. maxIter defaults to 2n. error |A^t(b-Ax)|/|A^tb| < tol. normType indicates the type of norm used for error: 0 L-infinity norm (ie. max) 1 L1-norm (ie. sum of abs) 2 L2-norm (ie. Euclidean distance) Output: x[0..n-1] and error.

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

• UT/UT_MatrixSolver.h