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Simple characterizations of exponential tractability for linear multivariate problems

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dc.abstract.enWe study linear multivariate problems defined as the approximation of compact linear multivariate operators over Hilbert spaces. We provide necessary and sufficient conditions on various notions of tractability. These conditions are mainly given in terms of sums of certain functions depending on the singular values of the multivariate problem. In particular, most of these conditions do not require the ordering of these singular values, which in many cases is difficult to achieve.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorWoźniakowski, Henryk
dc.contributor.authorKritzer, Peter
dc.date.accessioned2024-01-26T07:37:14Z
dc.date.available2024-01-26T07:37:14Z
dc.date.issued2019
dc.description.financeNie dotyczy
dc.description.volume51
dc.identifier.doi10.1016/J.JCO.2018.10.004
dc.identifier.issn0885-064X
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/119833
dc.identifier.weblinkhttps://www.sciencedirect.com/science/article/pii/S0885064X18300803?via%3Dihub
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofJournal of Complexity
dc.relation.pages110-128
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleSimple characterizations of exponential tractability for linear multivariate problems
dc.typeJournalArticle
dspace.entity.typePublication