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Record Nr. |
UNISA996466508003316 |
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Autore |
Ritter Klaus |
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Titolo |
Average-Case Analysis of Numerical Problems [[electronic resource] /] / by Klaus Ritter |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 |
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ISBN |
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Edizione |
[1st ed. 2000.] |
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Descrizione fisica |
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1 online resource (XI, 252 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1733 |
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Disciplina |
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Soggetti |
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Numerical analysis |
Statistics |
Numerical Analysis |
Statistics, general |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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. |
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