Lecture Notes in Mathematics

Ritter, Klaus

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.

Details

Published by: Springer

Publication Date: 2000-05-26

Format: Paperback

ISBN-13: 9783540674498

DOI: 10.1007/BFb0103934

Dimensions: 235cm x155cm

Pages: 252