An Algorithm of Global Optimization for Rational Functions with Rational Constraints

Authors:
Weiwu Fang;Tianjiao Wu;Jianping Chen
Affiliations:
DIMACS Center, Rutgers University, Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing, China/;Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing, China/;Simon Fraser University, Burnaby, Canada (e-mail: fangww@sina.com.cn)
Venue:
Journal of Global Optimization
Year:
2000

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Abstract

To solve a system of nonlinear equations, Wu wen-tsun introduced a new formative elimination method. Based on Wu's method and the theory of nonlinear programming, we here propose a global optimization algorithm for nonlinear programming with rational objective function and rational constraints. The algorithm is already programmed and the test results are satisfactory with respect to precision and reliability.