摘要
提出用实数同伦法[1]确定机械优化问题的多个解的方法。其核心思想是:根据K-T条件将一个非线性规划问题转化成一个非线性方程组的求解问题,并用实数同伦法在实数域上数值求解该非线性方程组,进而获得原优化问题的所有或绝大多数局部最优解。文中建立了统一的求解模型,并解决了数值计算中的若干问题。
In this paper,the method is suggested to determine multiple solutions of mechanical optimization problem by real number homotopy method.The main idea is first to transform a problem of nonlinear programming into a problem of nonlinear system of equations,then solve the nonlinear system of equations by real number homotopy method in the real field,and finally find all or an overwhelming majority of local optimum solutins.The uniform model for solving optimization problem has been built up,and some problems about numerical calculation have been solved,so the method put forward in this paper is rather practical.All that is done in this paper is rather valuble either in theory or in application.
出处
《上海海运学院学报》
1999年第4期9-16,共8页
Journal of Shanghai Maritime University
基金
国家自然科学基金
关键词
机械设计
优化设计
实数同伦法
多解
homotopy method,nonlinear programming,nonlinear system of equations,multiple solutions
