Data Processing with Combined Homotopy Methods for a Class of Nonconvex Optimization Problems

Yun Feng Gao; Ning Xu

doi:10.4028/www.scientific.net/AMR.1046.403

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 1046Data Processing with Combined Homotopy Methods for...

Data Processing with Combined Homotopy Methods for a Class of Nonconvex Optimization Problems

Abstract:

On the existing theoretical results, this paper studies the realization of combined homotopy methods on optimization problems in a specific class of nonconvex constrained region. Contraposing to this nonconvex constrained region, we give the structure method of the quasi-normal, prove that the chosen mappings on constrained grads are positive independent and the feasible region on SLM satisfies the quasi-normal cone condition. And we construct combined homotopy equation under the quasi-normal cone condition with numerical value and examples, and get a preferable result by data processing.

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Periodical:

Advanced Materials Research (Volume 1046)

Pages:

403-406

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1046.403

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Online since:

October 2014

Authors:

Yun Feng Gao*, Ning Xu

Keywords:

Combined Homotopy Methods, Nonconvex Optimization, Positive Independent, Quasi-Normal Cone Condition

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