ImprovedNewtonRaphsonMethodF Class

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

Inheritance Hierarchy

SystemObject
  DigitalRune.Mathematics.AnalysisRootFinderF
    DigitalRune.Mathematics.AnalysisNewtonRaphsonMethodF
      DigitalRune.Mathematics.AnalysisImprovedNewtonRaphsonMethodF

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 ImprovedNewtonRaphsonMethodF : NewtonRaphsonMethodF

Public Class ImprovedNewtonRaphsonMethodF
	Inherits NewtonRaphsonMethodF

public ref class ImprovedNewtonRaphsonMethodF : public NewtonRaphsonMethodF

type ImprovedNewtonRaphsonMethodF =  
    class
        inherit NewtonRaphsonMethodF
    end

The ImprovedNewtonRaphsonMethodF type exposes the following members.

Constructors

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

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Methods

	Name	Description
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	ExpandBracket(Single, Single)	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 RootFinderF.)
	ExpandBracket(Single, Single, Single)	Takes the initial guessed range [x0, x1] and expands this interval such that x with f(x) = y is in the interval. (Inherited from RootFinderF.)
	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(Single, Single)	Finds the root of the given function. (Inherited from RootFinderF.)
	FindRoot(FuncSingle, Single, Single, Single)	Finds the root of the given function. (Overrides NewtonRaphsonMethodFFindRoot(FuncSingle, Single, Single, Single).)
	FindRoot(Single, Single, Single)	Finds the x for the given function, such that f(x) = y. (Inherited from RootFinderF.)
	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 NewtonRaphsonMethodF.)
	Epsilon	Obsolete. Gets or sets the tolerance value used for comparing x values (same as EpsilonX). (Inherited from RootFinderF.)
	EpsilonX	Gets or sets the tolerance value used for comparing x values. (Inherited from RootFinderF.)
	EpsilonY	Gets or sets the tolerance value used for comparing function values. (Inherited from RootFinderF.)
	Function	Gets the function f(x), which root we want to find. (Inherited from RootFinderF.)
	MaxNumberOfIterations	Gets or sets the maximum number of iterations. (Inherited from RootFinderF.)
	NumberOfIterations	Gets or sets the number of iterations of the last FindRoot(Single, Single) method call. (Inherited from RootFinderF.)

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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