Average-Case Analysis of Numerical Problems / / by Klaus Ritter
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| Autore: |
Ritter Klaus
|
| Titolo: |
Average-Case Analysis of Numerical Problems / / by Klaus Ritter
|
| Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 |
| Edizione: | 1st ed. 2000. |
| Descrizione fisica: | 1 online resource (XI, 252 p.) |
| Disciplina: | 519.4 |
| Soggetto topico: | Numerical analysis |
| Statistics | |
| Numerical Analysis | |
| Statistics, general | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | 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. |
| 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. |
| Titolo autorizzato: | Average-case analysis of numerical problems |
| ISBN: | 3-540-45592-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910146314903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1733