Image space analysis of generalized fractional programs
type: Item
instance of: scholarly article
title: Image space analysis of generalized fractional programs
zbMATH Open document ID: 0809.90121
DOI: 10.1007/BF01096535
author: James E. Falk
author: Susan W. Palocsay
published in: Journal of Global Optimization
publication date: 1994-03-10T00:00:00Z
review text: A nonconvex fractional program whose objective \(f(x)= \sum f_ i(x)\), where \(f_ i(x)= n_ i(x)/d_ i(x)\), is the quotient of affine functions, is analyzed in the image space of vectors \((f_ 1(x),f_ 2(x),\dots)\). An iterative procedure is proposed, applying successive cuts to a region of the image space. This approach is extended to products of ratios, or of linear functions.
Mathematics Subject Classification ID: 90C32
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 513306
zbMATH Keywords: sums and products of ratios
zbMATH Keywords: global convergence
zbMATH Keywords: nonconvex fractional program
zbMATH Keywords: image space
reviewed by: B. D. Craven
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01096535
OpenAlex ID: W2050513930
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description: scientific article; zbMATH DE number 513306