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Journal of Optimization Theory and Applications
, Volume 87, Issue 3, pp 747755
First online:
On characterizing the solution sets of pseudolinear programs
 V. JeyakumarAffiliated withDepartment of Applied Mathematics, University of New South Wales
 , X. Q. YangAffiliated withDepartment of Mathematics, University of Western Australia
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This paper provides several new and simple characterizations of the solution sets of pseudolinear programs. By means of the basic properties of pseudolinearity, the solution set of a pseudolinear program is characterized, for instance, by the equality that\(\nabla f(x)^T (\bar x  x) = 0\), for each feasible pointx, where\(\bar x\) is in the solution set. As a consequence, we give characterizations of both the solution set and the boundedness of the solution set of a linear fractional program.
Key Words
Solution sets pseudolinear programs linear fractional programs Title
 On characterizing the solution sets of pseudolinear programs
 Journal

Journal of Optimization Theory and Applications
Volume 87, Issue 3 , pp 747755
 Cover Date
 199512
 DOI
 10.1007/BF02192142
 Print ISSN
 00223239
 Online ISSN
 15732878
 Publisher
 Kluwer Academic PublishersPlenum Publishers
 Additional Links
 Topics
 Keywords

 Solution sets
 pseudolinear programs
 linear fractional programs
 Industry Sectors
 Authors

 V. Jeyakumar ^{(1)}
 X. Q. Yang ^{(2)}
 Author Affiliations

 1. Department of Applied Mathematics, University of New South Wales, Sydney, Australia
 2. Department of Mathematics, University of Western Australia, Nedlands, Western Australia, Australia