Finding more and more solutions of a system of nonlinear equations

Ge R (1990). Finding more and more solutions of a system of nonlinear equations. Applied Mathematics and Computation 36 (1): 15-30. DOI:10.1016/0096-3003(90)90072-B.

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Abstract

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.

Item Type: Article
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: Romeo Molina
Date Deposited: 18 Apr 2016 10:05
Last Modified: 19 Apr 2016 11:16
URI: http://pure.iiasa.ac.at/12739

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