Title
Image space analysis of generalized fractional programs
Abstract
The solution of a particular nonconvex program is usually very dependent on the structure of the problem. In this paper we identify classes of nonconvex problems involving either sums or products of ratios of linear terms which may be treated by analysis in a transformed space. In each class, the image space is defined by a mapping which associates a new variable with each original ratio of linear terms. In the image space, optimization is easy in certain directions, and the overall solution may be realized by sequentially optimizing in these directions.
Year
DOI
Venue
1994
10.1007/BF01096535
J. Global Optimization
Keywords
Field
DocType
Nonconvex fractional problems,sums and products of ratios,global convergence
Mathematical optimization,Mathematical analysis,Mathematics
Journal
Volume
Issue
ISSN
4
1
0925-5001
Citations 
PageRank 
References 
31
2.94
5
Authors
2
Name
Order
Citations
PageRank
James E. Falk129768.47
Susan W. Palocsay2536.92