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d135322 · Oct 8, 2020

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Nonlinear_Equations

README.md

Nonlinear Equations Solutions

Contents: Various common and useful iterative methods for solving nonlinear equations

Time:2019.05.05

The solution methods of the nonlinear equations. The programs are in the Nonlinear_Equations folder.

  • Original Newton method + pre-Gauss-Seidel iteration —— niudun.m and pre_seidel.m
  • Modified Newton method —— xzniudun.m
  • Quasi-Newton Method(single rank inverse Broyden Ⅰ) —— nbroyden1.m
  • Quasi-Newton Method(single rank inverse Broyden Ⅱ) —— nbroyden2.m
  • Quasi-Newton Method(rank-two BFS) —— BFS.m
  • You can see more detailed interpretation from my blog: https://www.jianshu.com/p/4e2d6a45aa67

非线性方程组的求解

内容:各种常见且好用的非线性方程组迭代求解方法。

时间:2019.05.05

更新1:非线性方法组的求解方法,使用了5种最好用最实用的牛顿法和拟牛顿法

  • 原始牛顿法(文件名:niudun.m),辅助求解线性方法组的万能高斯-赛德尔迭代函数(文件名:pre_seidel.m);
  • 修正牛顿法(文件名:xzniudun.m);
  • 拟牛顿法_逆Broyden秩1法(文件名:nbroyden1.m);
  • 拟牛顿法_逆Broyden秩1第二方法(文件名:nbroyden2.m);
  • 拟牛顿法_BFS秩2法(文件名:BFS.m);
  • 相关说明参考这里