Please use this identifier to cite or link to this item:
http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/167| Title: | Distinguishing a global minimizer from local minimizers of quadratic minimization with mixed variables |
| Authors: | Jeyakumar, V Lee, G.M Srisatkunarajah, S |
| Keywords: | Global optimality conditions;Mixed va;Quadratic programs;Weighted least squares |
| Issue Date: | Jan-2010 |
| Publisher: | Yokohama Publishers |
| Abstract: | We provide simple necessary, and sufficient conditions for a local minimizer to be a global minimizer of quadratic functions with mixed variables. We fully distinguish global minimizers from local minimizers in the case when the quadratic function is a sum of squares by providing a necessary and sufficient global optimality condition. We discuss examples to illustrate the significance of our conditions for identifying a global minimizer among local minimizers. Finally we apply our criteria for identifying global minimizers of a class of fractional programming problems. |
| URI: | http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/167 |
| ISSN: | 13489151 |
| Appears in Collections: | Mathematics and Statistics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Distinguishing a global minimizer from local minimizers of quadratic minimization with mixed variables-Jeyakumar.pdf | 176.12 kB | Adobe PDF |  View/Open |
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