用c++求解非线性代数方程的一般算法

Proceedings of the 2022 11th International Conference on Computing and Pattern Recognition Pub Date : 2022-11-17 DOI:10.1145/3581807.3581886

J. Lieh

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摘要

本文采用c++作为编程工具，开发求解非线性代数方程的通用算法。为了比较，我们使用了五种数值方法。程序不是在给定的初始猜测的邻域中只查找一个根，而是以这样一种方式开发的，即它们可以在指定的区间内搜索多个根。通过实例验证了算法的有效性，并比较了算法的收敛速度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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General Algorithms to Solve Nonlinear Algebraic Equations with C++

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.

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Proceedings of the 2022 11th International Conference on Computing and Pattern Recognition

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