Average-Case Analysis of Numerical Problems
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 l...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2000.
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| Edition: | 1st ed. 2000. |
| Series: | Lecture Notes in Mathematics,
1733 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
| Summary: | 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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| Physical Description: | XI, 252 p. online resource. |
| ISBN: | 9783540455929 |
| ISSN: | 0075-8434 ; |
| DOI: | 10.1007/BFb0103934 |
