E-Book, Englisch, Band 1733, 252 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Ritter Average-Case Analysis of Numerical Problems
Erscheinungsjahr 2007
ISBN: 978-3-540-45592-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 1733, 252 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-45592-9
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Linear problems: Definitions and a classical example.- Second-order results for linear problems.- Integration and approximation of univariate functions.- Linear problems for univariate functions with noisy data.- Integration and approximation of multivariate functions.- Nonlinear methods for linear problems.- Nonlinear problems.
