Optimal Solution of Nonlinear Equations (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
252
Utgivningsdatum
2001-02-01
Förlag
OUP USA
Illustrationer
figs.
Dimensioner
234 x 156 x 16 mm
Vikt
536 g
Antal komponenter
1
Komponenter
52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam
ISBN
9780195106909

Optimal Solution of Nonlinear Equations

av Krzysztof A Sikorski
Inbunden,  Engelska, 2001-02-01
865
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Optimal Solution of Nonlinear Equations is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping, and for the computation of the topological degree. It is of interest to any reader working in the area of Information-Based Complexity. The worst-case settings are analysed here. Several classes of functions are studied with special empahsis on tight complexity bounds and methods which are close to or achieve these bounds. Each chapter ends with exercises, including companies and open-ended research based exercises.
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Recensioner i media

The Mathematical Gazette The value of the book is enhanced by the inclusion of 'annotations' for each chapter, giving the provenance of the various methods and theorems, with references to an extensive bibliography.

SIAM Review This book provides an excellent overview of optimal computational methods for the solution of nonlinear equations, for fixed points of contractive and noncontractive mappings, as well as for the topolgical degree ... I believe it is an excellent book, and thus strongly recommend it.

Innehållsförteckning

Part 1 Introduction: formulation of the problem. Part 2 Nonlinear equations: univariate problems; multivariate problems. Part 3 Fixed points - contractive: univariate problems; multivariate problems. Part 4 Fixed points - noncontractives: univariate problems; multivariate problems. Part 5 Topological degree computation: two-dimensional Lipschitz functions; Lipschitz functions in D-dimensions.

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