Sufficient and Necessary Conditions for Semidefinite Representability of Convex Hulls and Sets

In terms of defining polynomials for S, nonsingular boundary amounts to them having nonvanishing gradient at each point on ∂S and the curvature condition can be expressed as their strict versus nonstrict quasiconcavity at those points on ∂S where they vanish. The gaps between them are ∂S having or n...

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Veröffentlicht in:	SIAM journal on optimization 2009-01, Vol.20 (2), p.759-791
Hauptverfasser:	Helton, J William, Nie, Jiawang
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Boundaries Convex analysis Curvature Gaps Hulls Hulls (structures) Mathematical analysis Mathematical problems Mathematical programming Optimization Studies
Online-Zugang:	Volltext
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