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Positive polynomials on semi-algebraic sets

✍ Scribed by Mihai Putinar; Florian-Horia Vasilescu


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
340 KB
Volume
328
Category
Article
ISSN
0764-4442

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We provide two certificates of convexity for arbitrary basic closed semi-algebraic sets of R n . 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