GaussSeidelMethodF Class

An iterative solver using the Gauss-Seidel method (single-precision).

Inheritance Hierarchy

SystemObject
DigitalRune.Mathematics.AlgebraIterativeLinearSystemSolverF
DigitalRune.Mathematics.AlgebraGaussSeidelMethodF

Namespace: DigitalRune.Mathematics.Algebra
Assembly: DigitalRune.Mathematics (in DigitalRune.Mathematics.dll) Version: 1.14.0.0 (1.14.0.14427)

Syntax

C++

Copy

public class GaussSeidelMethodF : IterativeLinearSystemSolverF

Public Class GaussSeidelMethodF
	Inherits IterativeLinearSystemSolverF

public ref class GaussSeidelMethodF : public IterativeLinearSystemSolverF

type GaussSeidelMethodF =  
    class
        inherit IterativeLinearSystemSolverF
    end

The GaussSeidelMethodF type exposes the following members.

Constructors

	Name	Description
	GaussSeidelMethodF	Initializes a new instance of the GaussSeidelMethodF class

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Methods

	Name	Description
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	Solve(MatrixF, VectorF)	Solves the specified linear system of equations A x = b*. (Inherited from IterativeLinearSystemSolverF.)
	Solve(MatrixF, VectorF, VectorF)	Solves the specified linear system of equations Ax=b. (Overrides IterativeLinearSystemSolverFSolve(MatrixF, VectorF, VectorF).)
	ToString	Returns a string that represents the current object. (Inherited from Object.)

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Properties

	Name	Description
	Epsilon	Gets or sets the tolerance value. (Inherited from IterativeLinearSystemSolverF.)
	MaxNumberOfIterations	Gets or sets the maximum number number of iterations. (Inherited from IterativeLinearSystemSolverF.)
	NumberOfIterations	Gets or sets the number of iterations of the last Solve(MatrixF, VectorF) method call. (Inherited from IterativeLinearSystemSolverF.)

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Remarks

The method will always converge if the matrix A is strictly or irreducibly diagonally dominant. Strict row diagonal dominance means that for each row, the absolute value of the diagonal term is greater than the sum of absolute values of other terms.

See http://en.wikipedia.org/wiki/Gauss%E2%80%93Seidel_method for an introduction to this method and for an explanation of the convergence criterion.

Reference

DigitalRune.Mathematics.Algebra Namespace