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.
Rezensionen / Stimmen
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. * The Mathematical Gazette * 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. * SIAM Review *
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Illustrationen
Maße
Höhe: 244 mm
Breite: 164 mm
Dicke: 22 mm
Gewicht
ISBN-13
978-0-19-510690-9 (9780195106909)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Department of Computer ScienceDepartment of Computer Science, University of Utah, Salt Lake City
1. Introduction ; 1.1 Formulation of the Problem ; 1.2 Annotations ; 1.3 Bibliography ; 2. Nonlinear Equations ; 2.1 Univariate Problems ; 2.2 Multivariate Problems ; 2.3 Annotations ; 2.4 Bibliography ; 3. Fixed Points - Contractive ; 3.1 Univariate Problems ; 3.2 Multivariate Problems ; 3.3 Annotations ; 3.4 Bibliography ; 4. Fixed Points - Noncontractives ; 4.1 Univariate Problems ; 4.2 Multivariate Problems ; 4.3 Annotations ; 4.4 Bibliography ; 5. Topological Degree Computation ; 5.1 Two Dimensional Lipschitz Functions ; 5.2 Lipschitz Functions in D-Dimensions ; 5.3 Annotations ; 5.4 Bibliography
