A Complete Characterization of the Gap between Convexity and SOS-Convexity
نویسندگان
چکیده
منابع مشابه
A Complete Characterization of the Gap between Convexity and SOS-Convexity
Our first contribution in this paper is to prove that three natural sum of squares (sos) based sufficient conditions for convexity of polynomials via the definition of convexity, its first order characterization, and its second order characterization are equivalent. These three equivalent algebraic conditions, henceforth referred to as sos-convexity, can be checked by semidefinite programming w...
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ژورنال
عنوان ژورنال: SIAM Journal on Optimization
سال: 2013
ISSN: 1052-6234,1095-7189
DOI: 10.1137/110856010