General Algorithms to Solve Nonlinear Algebraic Equations with C++

Abstract

This paper adopts C++ as a programming tool to develop general algorithms to solve nonlinear algebraic equations. For comparison purpose, five numerical approaches are used. Instead of finding only one root at the neighborhood of a given initial guess, programs are developed in such a way that they can search multiple roots in a specified interval. Several examples are selected to verify the algorithms and their convergence speeds are compared.