Dual form reduction in the atomic optimization method

Dual form reduction in the atomic optimization method

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Article ID: iaor20171895
Volume: 78
Issue: 5
Start Page Number: 940
End Page Number: 952
Publication Date: May 2017
Journal: Automation and Remote Control
Authors:
Keywords: heuristics
Abstract:

One‐dimensional optimization problems with a polynomial objective function and polynomial matrix inequality constraints are considered. For problems dual to their linear relaxations, a transformation is presented that makes them compatible with the atomic optimization method, both in its basic and in the generalized form with a reduced number of atoms.

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