“Backward Differential Flow” May Not Converge to a Global Minimizer of Polynomials

Orhan Arıkan (), Regina S. Burachik () and C. Yalçın Kaya ()
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Orhan Arıkan: Bilkent University
Regina S. Burachik: University of South Australia
C. Yalçın Kaya: University of South Australia

Journal of Optimization Theory and Applications, 2015, vol. 167, issue 1, No 19, 408 pages

Abstract: Abstract We provide a simple counter-example to prove and illustrate that the backward differential flow approach, proposed by Zhu, Zhao and Liu for finding a global minimizer of coercive even-degree polynomials, can converge to a local minimizer rather than a global minimizer. We provide additional counter-examples to stress that convergence to a local minimum via the backward differential flow method is not a rare occurence.

Keywords: Polynomial optimization; Global optimization; Trajectory methods (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-015-0727-7

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