The Resource Nonlinear Perron-Frobenius theory, Bas Lemmens, Roger Nussbaum
Nonlinear Perron-Frobenius theory, Bas Lemmens, Roger Nussbaum
Resource Information
The item Nonlinear Perron-Frobenius theory, Bas Lemmens, Roger Nussbaum represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri-St. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Nonlinear Perron-Frobenius theory, Bas Lemmens, Roger Nussbaum represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri-St. Louis Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (xii, 323 pages)
- Note
- Title from publishers bibliographic system (viewed 09 May 2012)
- 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
- Isbn
- 9781139379687
- Label
- Nonlinear Perron-Frobenius theory
- Title
- Nonlinear Perron-Frobenius theory
- Statement of responsibility
- Bas Lemmens, Roger Nussbaum
- 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
- 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
- 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.umsl.edu/portal/Nonlinear-Perron-Frobenius-theory-Bas-Lemmens/EowLcB-KSOI/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.umsl.edu/portal/Nonlinear-Perron-Frobenius-theory-Bas-Lemmens/EowLcB-KSOI/">Nonlinear Perron-Frobenius theory, Bas Lemmens, Roger Nussbaum</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.umsl.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.umsl.edu/">University of Missouri-St. Louis Libraries</a></span></span></span></span></div>
