“Backward Differential Flow” May Not Converge to a Global Minimizer of Polynomials
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/20704
Journal of Optimization Theory and Applications
- Research Paper 
Springer New York LLC
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. © 2015, Springer Science+Business Media New York.