Nonlinear Perron-Frobenius theory - Info and Reading Options
By Bas Lemmens
"Nonlinear Perron-Frobenius theory" was published by Cambridge University Press in 2012 - Cambridge and the language of the book is English.
“Nonlinear Perron-Frobenius theory” Metadata:
- Title: ➤ Nonlinear Perron-Frobenius theory
- Author: Bas Lemmens
- Language: English
- Publisher: Cambridge University Press
- Publish Date: 2012
- Publish Location: Cambridge
“Nonlinear Perron-Frobenius theory” Subjects and Themes:
- Subjects: ➤ Non-negative matrices - Eigenvalues - Eigenvectors - MATHEMATICS / Differential Equations - Linear Algebras - Operator theory - MATHEMATICS - Differential Equations
Edition Specifications:
- Pagination: p. cm.
Edition Identifiers:
- The Open Library ID: OL25194470M - OL16495615W
- Online Computer Library Center (OCLC) ID: 772968381
- Library of Congress Control Number (LCCN): 2011053268
- ISBN-13: 9780521898812
- All ISBNs: 9780521898812
AI-generated Review of “Nonlinear Perron-Frobenius theory”:
"Nonlinear Perron-Frobenius theory" Table Of Contents:
- 1- Machine generated contents note: Preface; 1. What is nonlinear Perron-Frobenius theory?; 2. Non-expansiveness and nonlinear Perron-Frobenius theory; 3. Dynamics of non-expansive maps; 4. Sup-norm non-expansive maps; 5. Eigenvectors and eigenvalues of nonlinear cone maps; 6. Eigenvectors in the interior of the cone; 7. Applications to matrix scaling problems; 8. Dynamics of subhomogeneous maps; 9. Dynamics of integral-preserving maps; Appendix A. The Birkhoff-Hopf theorem; Appendix B. Classical Perron-Frobenius theory; References; Index.
"Nonlinear Perron-Frobenius theory" Description:
The Open Library:
"Sometimes in mathematics an innocent-looking observation opens up a new road to a fertile field. A nice example of such an observation is due to Garrett Birkhoff [23] and Hans Samelson [187], who remarked that one can use Hilbert's (projective) metric and the contraction mapping principle to prove some of the theorems of Perron and Frobenius concerning eigenvectors and eigenvalues of nonnegative matrices. This idea has been pivotal for the development of nonlinear Perron-Frobenius theory"--
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