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Average-Case Analysis of Numerical Problems

Average-Case Analysis of Numerical Problems PDF Author: Klaus Ritter
Publisher: Springer Science & Business Media
ISBN: 9783540674498
Category : Mathematics
Languages : en
Pages : 268

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Book Description
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.