“Backward differential flow” may not converge to a global minimizer of polynomials

Arıkan, OrhanBurachik, R. S.Kaya, C. Y.2016-02-082016-02-0820150022-3239http://hdl.handle.net/11693/20704We 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.EnglishGlobal optimizationPolynomial optimizationTrajectory methods“Backward differential flow” may not converge to a global minimizer of polynomialsArticle10.1007/s10957-015-0727-7