| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1709797 | Applied Mathematics Letters | 2010 | 5 Pages |
Abstract
We provide two certificates of convexity for arbitrary basic closed semi-algebraic sets of RnRn. The first one is based on a necessary and sufficient condition whereas the second one is based on a sufficient (but simpler) condition only. Both certificates are obtained from any feasible solution of a related semidefinite program and so, in principle, can be obtained numerically (however, up to machine precision).
Related Topics
Physical Sciences and Engineering
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Authors
J.B. Lasserre,