Abstract and Applied Analysis

Global Optimization for the Sum of Certain Nonlinear Functions

Mio Horai, Hideo Kobayashi, and Takashi G. Nitta

Full-text: Open access

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 408918, 8 pages.

Dates
First available in Project Euclid: 27 February 2015

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1425049864

Digital Object Identifier
doi:10.1155/2014/408918

Mathematical Reviews number (MathSciNet)
MR3280865

Zentralblatt MATH identifier
07022335

Citation

Horai, Mio; Kobayashi, Hideo; Nitta, Takashi G. Global Optimization for the Sum of Certain Nonlinear Functions. Abstr. Appl. Anal. 2014 (2014), Article ID 408918, 8 pages. doi:10.1155/2014/408918. https://projecteuclid.org/euclid.aaa/1425049864


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