Solution to Global Minimization of Polynomials by Backward Differential Flow

Solution to Global Minimization of Polynomials by Backward Differential Flow

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Article ID: iaor2014744
Volume: 161
Issue: 3
Start Page Number: 828
End Page Number: 836
Publication Date: Jun 2014
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Keywords: global optimization, polynomial programs
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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