Introduction

IMSL Mathematics Reference Guide > Nonlinear Equations > Introduction

Introduction

This section introduces some of the mathematical concepts used with PV‑WAVE.

Zeros of a Polynomial

A polynomial function of degree n can be expressed as follows:

p(z) = anzn + an–1zn – 1 + ... + a1z + a0

where an ≠ 0. Function ZEROPOLY finds zeros of a polynomial with real or complex coefficients using either the companion method or the Jenkins-Traub three-stage algorithm.

Zeros of a Function

Function ZEROFCN uses Müller’s method to find the real zeros of a real-valued function.

Root of System of Equations

A system of equations can be stated as follows:

fi(x) = 0, for i = 0, 1, ..., n – 1

where

, and fi : Rn → R.

Function ZEROSYS uses a modified hybrid method due to M.J.D. Powell to find the zero of a system of nonlinear equations.

Version 2017.0