一、引言在控制工程、计算机仿真及最优化设计等领域,往往要求解非线性方程。但多数方程不能用解析方法求解,即使可以求解也是相当困难的。因而我们常常把方程变换为离散化的线性方程组或非线性方程组,然后选用适当的数值算法在计算机上求解。求解线性方程组的算法很多,此文不予讨论;求解非线性方程组的算法虽多,但许多算法在应 I. INTRODUCTION In the fields of control engineering, computer simulation and optimization design, it is often required to solve nonlinear equations. However, most equations can not be solved analytically, even if it can be solved is quite difficult. Therefore, we often transform the equation into a discrete linear system of equations or nonlinear equations, and then use the appropriate numerical algorithm on the computer. There are many algorithms for solving linear equations, which are not discussed in this paper. Although there are many algorithms for solving nonlinear equations,