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• W2324054100 abstract "Given a basic compact semialgebraic set K ⊂ R n , we introduce a methodology that gen- erates a sequence converging to the volume of K. This sequence is obtained from optimal values of a hierarchy of either semidefinite or linear programs. Not only the volume but also every finite vector of moments of the probability measure that is uniformly distributed on K can be approximated as closely as desired, which permits the approximation of the integral on K of any given polynomial; the extension to integration against some weight functions is also provided. Finally, some numerical issues associated with the algorithms involved are briefly discussed." @default.
• W2324054100 created "2016-06-24" @default.
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• W2324054100 date "2009-01-01" @default.
• W2324054100 modified "2023-09-27" @default.
• W2324054100 title "Approximate Volume and Integration for" @default.
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• W2324054100 hasPublicationYear "2009" @default.
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