Optimal Solution of Nonlinear Equations
Seiten
2001
Oxford University Press Inc (Verlag)
978-0-19-510690-9 (ISBN)
Oxford University Press Inc (Verlag)
978-0-19-510690-9 (ISBN)
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. Chapters end with exercises, including companies and open-ended research-based work.
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.
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.
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
| Erscheint lt. Verlag | 15.2.2001 |
|---|---|
| Zusatzinfo | numerous line figures |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 234 x 156 mm |
| Gewicht | 535 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 0-19-510690-3 / 0195106903 |
| ISBN-13 | 978-0-19-510690-9 / 9780195106909 |
| Zustand | Neuware |
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