On characterizing the solution sets of pseudolinear programs |
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| Authors: | V Jeyakumar X Q Yang |
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| Institution: | (1) Department of Applied Mathematics, University of New South Wales, Sydney, Australia;(2) Department of Mathematics, University of Western Australia, Nedlands, Western Australia, Australia |
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| Abstract: | 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
, for each feasible pointx, where
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. |
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| Keywords: | Solution sets pseudolinear programs linear fractional programs |
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