Nonlinear Perron-Frobenius Theory (PDF)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autoren: Roger Nussbaum , Bas Lemmens
- 2012, Englisch
- Verlag: Cambridge University Press
- ISBN-10: 1107226341
- ISBN-13: 9781107226340
- Erscheinungsdatum: 03.05.2012
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- Dateiformat: PDF
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Sprache:
Englisch
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