FZero Class

FZero finds a zero of the function in the given interval. Repeated roots are not found, FZero can find only bracketed single roots.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreRootFinderBase
CenterSpace.NMath.CoreFZero

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

C++

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[SerializableAttribute]
public class FZero : RootFinderBase, IOneVariableRootFinder, 
	ICloneable

<SerializableAttribute>
Public Class FZero
	Inherits RootFinderBase
	Implements IOneVariableRootFinder, ICloneable

[SerializableAttribute]
public ref class FZero : public RootFinderBase, 
	IOneVariableRootFinder, ICloneable

[<SerializableAttribute>]
type FZero = 
    class
        inherit RootFinderBase
        interface IOneVariableRootFinder
        interface ICloneable
    end

The FZero type exposes the following members.

Constructors

	Name	Description
	FZero	Constructs a FZero instance with default tolerance and default maximum iterations.
	FZero(Double)	Constructs a FZero instance with the given error tolerance.
	FZero(Int32)	Constructs a FZero instance with the given maximum number of iterations.
	FZero(Double, Int32)	Constructs a FZero instance with the given error tolerance and maximum number of iterations.

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Properties

	Name	Description
	Error	Gets the error associated with the root just computed. (Inherited from RootFinderBase)
	Iterations	Gets the number of iterations used computing the last root. (Inherited from RootFinderBase)
	MaxIterations	Gets and sets the maximum number of iterations used in finding roots. (Inherited from RootFinderBase)
	MaxIterationsMet	Returns true if the root just computed stopped because the maximum number of iterations was reached; otherwise, false. (Inherited from RootFinderBase)
	Tolerance	Gets and sets the error tolerance used in finding roots. (Inherited from RootFinderBase)
	ToleranceMet	Returns true if the root just computed stopped because the error tolerance was reached; otherwise, false. (Inherited from RootFinderBase)

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Methods

	Name	Description
	BracketRoot	Attempts to bracket a root given the function and an initial guess near a suspected root. (Inherited from RootFinderBase)
	Clone	Creates a deep copy of this root finder. (Overrides RootFinderBaseClone)
	Find(OneVariableFunction, Interval)	Finds one root of f within the given interval.
	Find(OneVariableFunction, Double)	Finds one root of f near the starting guess, x0.
	Find(OneVariableFunction, Double, Double)	Finds one root of f within the given interval.

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Fields

	Name	Description
	error_	The current error. (Inherited from RootFinderBase)
	iter_	The current number of iterations performed. (Inherited from RootFinderBase)
	max_	The maximum number of iterations. (Inherited from RootFinderBase)
	tolerance_	The error tolerance. (Inherited from RootFinderBase)

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Remarks

Based on the

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zeroin()

root finder published originally in Computer Methods for Mathematical Computations by Forsythe, Malcolm and Moler in 1977. This class is similar to MATLAB's FZero function.

Reference

CenterSpace.NMath.Core Namespace