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2014 Global Optimization for the Sum of Certain Nonlinear Functions
Mio Horai, Hideo Kobayashi, Takashi G. Nitta
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/408918


We extend work by Pei-Ping and Gui-Xia, 2007, to a global optimization problem for more general functions. Pei-Ping and Gui-Xia treat the optimization problem for the linear sum of polynomial fractional functions, using a branch and bound approach. We prove that this extension makes possible to solve the following nonconvex optimization problems which Pei-Ping and Gui-Xia, 2007, cannot solve, that the sum of the positive (or negative) first and second derivatives function with the variable defined by sum of polynomial fractional function by using branch and bound algorithm.


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Mio Horai. Hideo Kobayashi. Takashi G. Nitta. "Global Optimization for the Sum of Certain Nonlinear Functions." Abstr. Appl. Anal. 2014 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022335
MathSciNet: MR3280865
Digital Object Identifier: 10.1155/2014/408918

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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