Solution to Global Minimization of Polynomials by Backward Differential Flow

Jinghao Zhu (), Shangrui Zhao and Guohua Liu
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Jinghao Zhu: Tongji University
Shangrui Zhao: Tongji University
Guohua Liu: Tongji University

Journal of Optimization Theory and Applications, 2014, vol. 161, issue 3, No 9, 828-836

Abstract: Abstract This paper presents a study on solutions to the global minimization of polynomials. The backward differential flow by the K–T equation with respect to the optimization problem is introduced to deal with a ball-constrained optimization problem. The unconstrained optimization is reduced to a constrained optimization problem which can be solved by a backward differential flow. Some examples are illustrated with an algorithm for computing the backward flow.

Keywords: Global optimization; Polynomials; Backward differential flow (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-013-0388-3

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