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Estimating L ∞ Norms by L 2k Norms for Functions on Orbits

dc.contributor.authorBarvinok,en_US
dc.date.accessioned2006-09-08T19:43:42Z
dc.date.available2006-09-08T19:43:42Z
dc.date.issued2002-10-17en_US
dc.identifier.citationBarvinok,; (2002). "Estimating L ∞ Norms by L 2k Norms for Functions on Orbits." Foundations of Computational Mathematics 2(4): 393-412. <http://hdl.handle.net/2027.42/41872>en_US
dc.identifier.issn1615-3375en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/41872
dc.description.abstractAbstract. Let G be a compact group acting in a real vector space V . We obtain a number of inequalities relating the L ∞ norm of a matrix element of the representation of G with its L 2k norm for a positive integer k . As an application, we obtain approximation algorithms to find the maximum absolute value of a given multivariate polynomial over the unit sphere (in which case G is the orthogonal group) and for the assignment problem of degree d , a hard problem of combinatorial optimization generalizing the quadratic assignment problem (in which case G is the symmetric group).en_US
dc.format.extent149154 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Society for the Foundation of Computational Mathematicsen_US
dc.subject.otherKey Words. Group Representations, Matrix Elements, Multivariate Polynomials, Combinatorial Optimization, Assignment Problem, Polynomial Equations, Lp Norms. AMS Classification. 68W25, 68R05, 90C30, 90C27, 20C15.en_US
dc.subject.otherLegacyen_US
dc.titleEstimating L ∞ Norms by L 2k Norms for Functions on Orbitsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhilosophyen_US
dc.subject.hlbsecondlevelComputer Scienceen_US
dc.subject.hlbtoplevelHumanitiesen_US
dc.subject.hlbtoplevelEngineeringen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mathematics University of Michigan Ann Arbor, MI 48109-1109, USA barvinok@math.lsa.umich.edu, USen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/41872/1/20020393.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/s102080010031en_US
dc.identifier.sourceFoundations of Computational Mathematicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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