NMath User's Guide

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Chapter 33. Finding Roots of Univariate Functions (.NET, C#, CSharp, VB, Visual Basic, F#)

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 26.1)—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.