The Computation of Fixed Points and Applications
Language: English
Published by Springer, Springer Vieweg Mai 1976, 1976
- Softcover
- New
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This item is printed on demand - Print on Demand Titel. Neuware -Fixed-point algorithms have diverse applications in economics, optimization, game theory and the numerical solution of boundary-value problems. Since Scarf's pioneering work [56,57] on obtaining approximate fixed points of continuous mappings, a great deal of research has been done in extending the applicability and improving the efficiency of fixed-point methods. Much of this work is available only in research papers, although Scarf's book [58] gives a remarkably clear exposition of the power of fixed-point methods. However, the algorithms described by Scarf have been super~eded by the more sophisticated restart and homotopy techniques of Merrill [~8,~9] and Eaves and Saigal [1~,16]. To understand the more efficient algorithms one must become familiar with the notions of triangulation and simplicial approxi- tion, whereas Scarf stresses the concept of primitive set. These notes are intended to introduce to a wider audience the most recent fixed-point methods and their applications. Our approach is therefore via triangu- tions. For this reason, Scarf is cited less in this manuscript than his contri- tions would otherwise warrant. We have also confined our treatment of applications to the computation of economic equilibria and the solution of optimization problems. Hansen and Koopmans [28] apply fixed-point methods to the computation of an invariant optimal capital stock in an economic growth model. Applications to game theory are discussed in Scarf [56,58], Shapley [59], and Garcia, Lemke and Luethi [24]. Allgower [1] and Jeppson [31] use fixed-point algorithms to find many solutions to boundary-value problems.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 144 pp. Englisch.…
Seller Inventory # 9783540076858
- Title
- The Computation of Fixed Points and Applications
- Author
- M. J. Todd
- Publisher
- Springer, Springer Vieweg Mai 1976
- Publication year
- 1976
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3540076859
- ISBN 13
- 9783540076858
- Item weight
- 191 grams
- Dimensions
- 216x140x9 mm
"Synopsis" may belong to another edition of this title.
buchversandmimpf2000
Emtmannsberg, BAYE, Germany
AbeBooks seller since January 23, 2017
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