Average-Case Analysis of Numerical Problems

By Klaus Ritter

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.

• Format: Paperback
• Language: English
• ISBN: 3540674497
• ISBN13: 9783540674498
• Release Date: May 2000
• Publisher: Springer
• Length: 252 Pages
• Weight: 0.84 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"