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[null,"1.","Record Nr.",null,"UNISA996466508003316"]
[null,null,"Autore",null,"Ritter Klaus"]
[null,null,"Titolo",null,"Average-Case Analysis of Numerical Problems [[electronic resource] /] / by Klaus Ritter"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000"]
[null,null,"ISBN",null,"3-540-45592-2"]
[null,null,"Edizione",null,"[1st ed. 2000.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XI, 252 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1733"]
[null,null,"Disciplina",null,"519.4"]
[null,null,"Soggetti",null,"Numerical analysis"]
[{"$nulls":4},"Statistics "]
[{"$nulls":4},"Numerical Analysis"]
[{"$nulls":4},"Statistics, general"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,"Nota di contenuto",null,"Linear problems: Definitions and a classical example -- Second-order results for linear problems -- Integration and approximation of univariate functions -- Linear problems for univariate functions with noisy data -- Integration and approximation of multivariate functions -- Nonlinear methods for linear problems -- Nonlinear problems."]
[null,null,null,"Sommario/riassunto","The average-case analysis of numerical problems is the counterpart of the more traditional worst-case approach. The analysis of average error and cost leads to new insight on numerical problems as well as to new algorithms. The book provides a survey of results that were mainly obtained during the last 10 years and also contains new results. The problems under consideration include approximation/optimal recovery and numerical integration of univariate and multivariate functions as well as zero-finding and global optimization. Background material, e.g. on reproducing kernel Hilbert spaces and random fields, is provided."]