Nonlinear Perron–Frobenius Theory
eBook - PDF

Nonlinear Perron–Frobenius Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Nonlinear Perron–Frobenius Theory

About this book

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.

Frequently asked questions

Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription.
At the moment all of our mobile-responsive ePub books are available to download via the app. Most of our PDFs are also available to download and we're working on making the final remaining ones downloadable now. Learn more here.
Perlego offers two plans: Essential and Complete
  • Essential is ideal for learners and professionals who enjoy exploring a wide range of subjects. Access the Essential Library with 800,000+ trusted titles and best-sellers across business, personal growth, and the humanities. Includes unlimited reading time and Standard Read Aloud voice.
  • Complete: Perfect for advanced learners and researchers needing full, unrestricted access. Unlock 1.4M+ books across hundreds of subjects, including academic and specialized titles. The Complete Plan also includes advanced features like Premium Read Aloud and Research Assistant.
Both plans are available with monthly, semester, or annual billing cycles.
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1 million books across 1000+ topics, we’ve got you covered! Learn more here.
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more here.
Yes! You can use the Perlego app on both iOS or Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app.
Yes, you can access Nonlinear Perron–Frobenius Theory by Bas Lemmens,Roger Nussbaum in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. CAMBRIDGE TRACTS IN MATHEMATICS
  3. GENERAL EDITORS
  4. Title
  5. Copyright
  6. Contents
  7. Preface
  8. 1 What is nonlinear Perron–Frobenius theory?
  9. 2 Non-expansiveness and nonlinear Perron–Frobenius theory
  10. 3 Dynamics of non-expansive maps
  11. 4 Sup-norm non-expansive maps
  12. 5 Eigenvectors and eigenvalues of nonlinear cone maps
  13. 6 Eigenvectors in the interior of the cone
  14. 7 Applications to matrix scaling problems
  15. 8 Dynamics of subhomogeneous maps
  16. 9 Dynamics of integral-preserving maps
  17. Appendix A The Birkhoff–Hopf theorem
  18. Appendix B Classical Perron–Frobenius theory
  19. Notes and comments
  20. References
  21. Symbols
  22. Index