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010   $a3-540-45592-2
024 7 $a10.1007/BFb0103934
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035   $a(DE-He213)978-3-540-45592-9
035   $a(MiAaPQ)EBC6306503
035   $a(MiAaPQ)EBC5585147
035   $a(Au-PeEL)EBL5585147
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100   $a20121227d2000      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aAverage-Case Analysis of Numerical Problems$b[electronic resource] /$fby Klaus Ritter
205   $a1st ed. 2000.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2000.
215   $a1 online resource (XI, 252 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1733
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-67449-7 
327   $aLinear 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.
330   $aThe average-case analysis of numerical problems is the counterpart of the more traditional worst-case approach. The analysis of average error and cost leads to new insight on numerical problems as well as to new algorithms. The book provides a survey of results that were mainly obtained during the last 10 years and also contains new results. The problems under consideration include approximation/optimal recovery and numerical integration of univariate and multivariate functions as well as zero-finding and global optimization. Background material, e.g. on reproducing kernel Hilbert spaces and random fields, is provided.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1733
606   $aNumerical analysis
606   $aStatistics 
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aStatistics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/S0000X
615  0$aNumerical analysis.
615  0$aStatistics .
615 14$aNumerical Analysis.
615 24$aStatistics, general.
676   $a519.4
700   $aRitter$b Klaus$4aut$4http://id.loc.gov/vocabulary/relators/aut$062632
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466508003316
996   $aAverage-case analysis of numerical problems$9374165
997   $aUNISA