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Nonlinear Perron-Frobenius Theory

Bas Lemmens and Roger Nussbaum
Publisher: 
Cambridge University Press
Publication Date: 
2012
Number of Pages: 
323
Format: 
Hardcover
Series: 
Cambridge Tracts in Mathematics 189
Price: 
99.00
ISBN: 
9780521898812
Category: 
Monograph
We do not plan to review this book.

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
Notes and comments
References
List of symbols
Index.

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