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Average-Case Analysis of Numerical Problems

Average-Case Analysis of Numerical Problems

Paperback

Series: Lecture Notes in Mathematics, Book 1733

General MathematicsProbability & Statistics

ISBN10: 3540674497
ISBN13: 9783540674498
Publisher: Springer
Published: May 26 2000
Pages: 252
Weight: 0.84
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English
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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General Mathematics