ImprovedNewtonRaphsonMethodD Class

Finds roots using an improved Newton-Raphson method (double-precision).

Inheritance Hierarchy

SystemObject
  DigitalRune.Mathematics.AnalysisRootFinderD
    DigitalRune.Mathematics.AnalysisNewtonRaphsonMethodD
      DigitalRune.Mathematics.AnalysisImprovedNewtonRaphsonMethodD

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

Syntax

C++

Copy

public class ImprovedNewtonRaphsonMethodD : NewtonRaphsonMethodD

Public Class ImprovedNewtonRaphsonMethodD
	Inherits NewtonRaphsonMethodD

public ref class ImprovedNewtonRaphsonMethodD : public NewtonRaphsonMethodD

type ImprovedNewtonRaphsonMethodD =  
    class
        inherit NewtonRaphsonMethodD
    end

The ImprovedNewtonRaphsonMethodD type exposes the following members.

Constructors

	Name	Description
	ImprovedNewtonRaphsonMethodD	Initializes a new instance of the ImprovedNewtonRaphsonMethodD class.

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Methods

	Name	Description
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	ExpandBracket(Double, Double)	Takes the initial guessed range [x0, x1] and expands this interval such that the root x_root where f(x_root) = 0 is in the interval. (Inherited from RootFinderD.)
	ExpandBracket(Double, Double, Double)	Takes the initial guessed range [x0, x1] and expands this interval such that x with f(x) = y is in the interval. (Inherited from RootFinderD.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	FindRoot(Double, Double)	Finds the root of the given function. (Inherited from RootFinderD.)
	FindRoot(FuncDouble, Double, Double, Double)	Finds the root of the given function. (Overrides NewtonRaphsonMethodDFindRoot(FuncDouble, Double, Double, Double).)
	FindRoot(Double, Double, Double)	Finds the x for the given function, such that f(x) = y. (Inherited from RootFinderD.)
	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.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)

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Properties

	Name	Description
	Derivative	Gets a function that computes the derivative f'(x). (Inherited from NewtonRaphsonMethodD.)
	Epsilon	Obsolete. Gets or sets the tolerance value used for comparing x values (same as EpsilonX). (Inherited from RootFinderD.)
	EpsilonX	Gets or sets the tolerance value used for comparing x values. (Inherited from RootFinderD.)
	EpsilonY	Gets or sets the tolerance value used for comparing function values. (Inherited from RootFinderD.)
	Function	Gets the function f(x), which root we want to find. (Inherited from RootFinderD.)
	MaxNumberOfIterations	Gets or sets the maximum number of iterations. (Inherited from RootFinderD.)
	NumberOfIterations	Gets or sets the number of iterations of the last FindRoot(Double, Double) method call. (Inherited from RootFinderD.)

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Remarks

This root finding algorithm uses a combination of the bisection method and the Newton-Raphson to provide global convergence.

This algorithm needs a function f'(x) which can compute the derivative of the function f(x) as additional inputs.

Reference

DigitalRune.Mathematics.Analysis Namespace