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Catalogue Information
Field name	Details
Dewey Class	518
Title	Average-Case Analysis of Numerical Problems ([EBook] /) / edited by Klaus Ritter.
Added Personal Name	Ritter, Klaus editor.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2000.
Physical Details	XI, 252 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1733
ISBN	9783540455929
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0103934
Links to Related Works	Subject References: Mathematics . Numerical Analysis . Statistics . Statistics, general . Authors: Ritter, Klaus . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 518 .

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Average-Case Analysis of Numerical Problems

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