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      • Department of Electrical and Electronics Engineering
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      “Backward differential flow” may not converge to a global minimizer of polynomials

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      Author(s)
      Arıkan, Orhan
      Burachik, R. S.
      Kaya, C. Y.
      Date
      2015
      Source Title
      Journal of Optimization Theory and Applications
      Print ISSN
      0022-3239
      Publisher
      Springer New York LLC
      Volume
      167
      Issue
      1
      Pages
      401 - 408
      Language
      English
      Type
      Article
      Item Usage Stats
      141
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      94
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      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
      Global optimization
      Polynomial optimization
      Trajectory methods
      Permalink
      http://hdl.handle.net/11693/20704
      Published Version (Please cite this version)
      http://dx.doi.org/10.1007/s10957-015-0727-7
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      • Department of Electrical and Electronics Engineering 3702
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