Coverart for item
The Resource Nonlinear Perron-Frobenius theory, Bas Lemmens, Roger Nussbaum

Nonlinear Perron-Frobenius theory, Bas Lemmens, Roger Nussbaum

Label
Nonlinear Perron-Frobenius theory
Title
Nonlinear Perron-Frobenius theory
Statement of responsibility
Bas Lemmens, Roger Nussbaum
Contributor
Subject
Language
eng
Summary
In the past several decades the classical Perron-Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron-Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear Perron-Frobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear Perron-Frobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology
Member of
Cataloging source
UkCbUP
Dewey number
  • 512.5
  • 512/.5
Illustrations
illustrations
Index
index present
LC call number
QA188 .L456 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1944-
http://library.link/vocab/relatedWorkOrContributorName
  • Lemmens, Bas
  • Nussbaum, Roger D.
Series statement
Cambridge tracts in mathematics
Series volume
189
http://library.link/vocab/subjectName
  • Non-negative matrices
  • Eigenvalues
  • Eigenvectors
  • Algebras, Linear
  • MATHEMATICS
  • MATHEMATICS
  • Algebras, Linear
  • Eigenvalues
  • Eigenvectors
  • Non-negative matrices
Label
Nonlinear Perron-Frobenius theory, Bas Lemmens, Roger Nussbaum
Instantiates
Publication
Note
Title from publishers bibliographic system (viewed 09 May 2012)
Bibliography note
Includes chapter notes and comments, bibliographical references (pages 307-318), list of symbols, and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
794731490
Extent
1 online resource (xii, 323 pages)
Form of item
online
Isbn
9781139379687
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9786613719263
Other physical details
illustrations, tables
http://library.link/vocab/ext/overdrive/overdriveId
371926
Specific material designation
remote
System control number
(OCoLC)794731490
Label
Nonlinear Perron-Frobenius theory, Bas Lemmens, Roger Nussbaum
Publication
Note
Title from publishers bibliographic system (viewed 09 May 2012)
Bibliography note
Includes chapter notes and comments, bibliographical references (pages 307-318), list of symbols, and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
794731490
Extent
1 online resource (xii, 323 pages)
Form of item
online
Isbn
9781139379687
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9786613719263
Other physical details
illustrations, tables
http://library.link/vocab/ext/overdrive/overdriveId
371926
Specific material designation
remote
System control number
(OCoLC)794731490

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