Copositivity detection by difference-of-convex decomposition and \(\omega \)-subdivision (Q1949258)
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scientific article; zbMATH DE number 6160889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Copositivity detection by difference-of-convex decomposition and \(\omega \)-subdivision |
scientific article; zbMATH DE number 6160889 |
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Copositivity detection by difference-of-convex decomposition and \(\omega \)-subdivision (English)
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6 May 2013
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The paper introduces difference-of-convex based approaches to copositivity testing. The authors propose an algorithm to detect copositivity of a given symmetric matrix which combines linear programming and convex quadratic programming technology with spectral information. Three copositivity tests are presented. The algorithm either provides a guarantee for copositivity, or delivers a violating vector as a certificate for non-copositivity. For the branch and bound algorithm, the choice of spectral difference-of-convex decomposition and a robustification step are discussed. Some empirical tests results are presented on randomly generated matrices, and checking copositivity on the maximum clique problem.
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conic optimization
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linear optimization
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quadratic optimization
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numerical examples
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copositivity testing
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algorithm
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branch and bound algorithm
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spectral difference-of-convex decomposition
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