NMath User's Guide

Chapter 31. Finding Roots of Univariate Functions (.NET, C#, CSharp, Visual Basic, VB.NET)

NMath includes classes for finding roots of univariate functions. A root-finding algorithm finds a value x for a given function f, such that f(x) = 0.

All NMath root-finding classes derive from the abstract base class RootFinderBase. The interface and behavior is the same as for MinimizerBase (Section 24.1)-iteration stops when either the decrease in function value is less than a specified error tolerance, or the specified maximum number of iterations is reached. The root-finding classes also implement one of the following interfaces:

• Classes that implement the IOneVariableRootFinder interface require only function evaluations to find roots.
• Classes that implement the IOneVariableDRootFinder interface also require evaluations of the derivative of a function.

This chapter describes how to use the root-finding classes.

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