关键词: 粒子滤波, 非线性方程组, 优化问题

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