Semidefinite Representation of Convex Hulls of Rational Varieties

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F11%3A00181653" target="_blank" >RIV/68407700:21230/11:00181653 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10440-011-9623-9" target="_blank" >http://dx.doi.org/10.1007/s10440-011-9623-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10440-011-9623-9" target="_blank" >10.1007/s10440-011-9623-9</a>

Result language
angličtina
Original language name
Semidefinite Representation of Convex Hulls of Rational Varieties
Original language description
Using elementary duality properties of positive semidefinite moment matrices and polynomial sum-of-squares decompositions, we prove that the convex hull of rationally parameterized algebraic varieties is semidefinite representable (that is, it can be represented as a projection of an affine section of the cone of positive semidefinite matrices) in the case of (a) curves; (b) hypersurfaces parameterized by quadratics; and (c) hypersurfaces parameterized by bivariate quartics; all in an ambient space of arbitrary dimension.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP103%2F10%2F0628" target="_blank" >GAP103/10/0628: Semidefinite programming for nonlinear dynamical systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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