Global optimization for the sum of certain nonlinear functions
type: Item
instance of: scholarly article
title: Global optimization for the sum of certain nonlinear functions
zbMATH Open document ID: 1470.90091
DOI: 10.1155/2014/408918
author: Mio Horai
author: Hideo Kobayashi
author: Takashi Gyoshin Nitta
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 90C26
Mathematics Subject Classification ID: 90C32
zbMATH DE Number: 7022335
Wikidata QID: Q59037590
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/408918
OpenAlex ID: W1999727031
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description: scientific article; zbMATH DE number 7022335