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

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Title: The Computation of Fixed Points and Applications (Lecture Notes in Economics and Mathematical Systems). ISBN: 3540076859. Edition: 1st.

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Fixed-point algorithms have diverse applications in ecomics, 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 tions of triangulation and simplicial approxi- tion, whereas Scarf stresses the concept of primitive set. These tes 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 ecomic 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 ecomic 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.

Key Features

Author(s)
M. J. Todd
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Date of Publication
01/05/1976
Language
English
Format
Paperback
ISBN-10
3540076859
ISBN-13
9783540076858
Subject
Management & Business: General
Series Title
Lecture Notes in Economics and Mathematical Systems
Series Part/Volume Number
124

Publication Data

Place of Publication
Berlin
Country of Publication
Germany
Imprint
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Content Note
biography

Dimensions

Weight
260 g
Width
140 mm
Height
216 mm
Spine
8 mm

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

Brand new: lowest price

AU $181.28

About this product

Description

Key Features

Publication Data

Dimensions

Best-selling in Atlases

2x Deluxe Scratch off World Map Travel Edition Poster Personalized Journal Gift

Save on Atlases

DUJARDIN,CHARLO-GIRL ON THE DANCING HORSE, THE BOOK NEW

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