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Nonlinear Perron-Frobenius Theory

Author: Bas Lemmens; Roger Nussbaum
Publisher: Cambridge : Cambridge University Press, 2012.
Series: Cambridge tracts in mathematics, 189.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bas Lemmens; Roger Nussbaum
ISBN: 9781139026079 1139026070 9780521898812 0521898811 1280877952 9781280877957 9781139376822 1139376829 9781139379687 1139379682 9781139375399 1139375393
OCLC Number: 794731490
Notes: Title from publishers bibliographic system (viewed 09 May 2012).
Description: 1 online resource (336 pages).
Contents: Cover; CAMBRIDGE TRACTS IN MATHEMATICS; GENERAL EDITORS; Title; Copyright; Contents; Preface; 1 What is nonlinear Perron-Frobenius theory?; 1.1 Classical Perron-Frobenius theory; 1.2 Cones and partial orderings; 1.3 Order-preserving maps; 1.4 Subhomogeneous maps; 1.5 Topical maps; 1.6 Integral-preserving maps; 2 Non-expansiveness and nonlinear Perron-Frobenius theory; 2.1 Hilbert's and Thompson's metrics; 2.2 Polyhedral cones; 2.3 Lorentz cones; 2.4 The cone of positive-semidefinite symmetric matrices; 2.5 Completeness; 2.6 Convexity and geodesics; 2.7 Topical maps and the sup-norm.
Series Title: Cambridge tracts in mathematics, 189.
Responsibility: Bas Lemmens, Roger Nussbaum.
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Abstract:

Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.  Read more...

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'In their introduction the authors state that 'the main purpose of this book is to give a systematic self-contained introduction to nonlinear Perron-Frobenius theory and to provide a guide to various Read more...

 
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