Average-Case Analysis of Numerical Problems

• Κύριος συγγραφέας: Ritter, Klaus (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Έκδοση: 1st ed. 2000.
• Σειρά: Lecture Notes in Mathematics, 1733
• Θέματα: Numerical analysis.; Statistics .; Numerical Analysis.; Statistics, general.
• Φυσική περιγραφή: XI, 252 p. online resource.
• ISBN: 9783540455929
• ISSN: 0075-8434 ;
• DOI: 10.1007/BFb0103934

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.