Abstract: To improve the solutions accuracy of nonlinear equations, the particle filter algorithm is introduced into nonlinear equations in this paper. The basic principle of particle filter and realization processing of this algorithm are systematically introduced. To establish the optimization model of solution of nonlinear equations based on particle filter algorithm, the solving problems of nonlinear equations are converted into functions optimization. The validity of this method is verified by simulation examples. The simulation experimental results demonstrate that this method can accurately and effectively obtain the solution of nonlinear equations. This also offers an effective means for the solution of nonlinear equations.

Key words: particle filter, nonlinear equations, optimization

摘要： 为了提高非线性方程组的求解精度，利用粒子滤波算法对非线性方程组问题进行求解计算。系统地介绍粒子滤波算法的基本原理及其优化算法的实现过程。将非线性方程组的求解问题转化为函数优化问题，并建立基于粒子滤波算法求解非线性方程组的优化模型。通过仿真实例验证所提方法的有效性。实验结果表明该方法能够准确、有效地解决非线性方程组的求解问题，这也为非线性方程组问题的研究提供一种有效的手段。

关键词: 粒子滤波, 非线性方程组, 优化问题