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The Computation of Fixed Points and Applications by M. J. Todd (Paperback, 1976)

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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.

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540076858
eBay Product ID (ePID)
190321188

Product Key Features

Author
M. J. Todd
Publication Name
The Computation of Fixed Points and Applications
Format
Paperback
Language
English
Subject
Mathematics, Business
Publication Year
1976
Type
Textbook
Number of Pages
132 Pages

Dimensions

Item Height
216mm
Item Width
140mm
Volume
124
Item Weight
260g

Additional Product Features

Title_Author
M. J. Todd
Series Title
Lecture Notes in Economics and Mathematical Systems
Country/Region of Manufacture
Germany

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The Computation of Fixed Points and Applications by M. J. Todd (Paperback, 1976)

About this product

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Product Identifiers

Product Key Features

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Additional Product Features

Best Selling in Adult Learning & University

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

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The Falsification of History: Our Distorted Reality by John Hamer (Paperback, 2013)

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In-Basket Case Studies by Guy Adamson (Paperback, 1986)

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