FINDING MORE AND MORE SOLUTIONS OF A SYSTEM OF NONLINEAR EQUATIONS

被引：5

作者：

GE, RP

机构：

[1] International Institute for Applied Systems Analysis

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1990年 / 36卷 / 01期

关键词：

D O I：

10.1016/0096-3003(90)90072-B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is addressed to an old but difficult topic, viz. how to find more and more solutions of a system of nonlinear equations. We find a transformation by using so-called locally affective functions to transform the original system to a new system, which has not the already found solutions of the original system, but only the unfound solutions, and so we can find a new solution of the original system through finding a solution of the transformed system. We also discuss some likely uses of locally affective functions in the solution of other nonlinear problems. © 1990.

引用

页码：15 / 30

页数：16

共 7 条

[1] SIMPLICIAL AND CONTINUATION METHODS FOR APPROXIMATING FIXED-POINTS AND SOLUTIONS TO SYSTEMS OF EQUATIONS [J].