Solution to Global Minimization of Polynomials by Backward Differential Flow |
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Authors: | Jinghao Zhu Shangrui Zhao Guohua Liu |
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Affiliation: | 1. Department of Mathematics, Tongji University, Shanghai, China
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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. |
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