Nonlinear Perron-Frobenius Theory (Hardcover) (ISBN-13: 9780521898812)

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.

Author: Bas Lemmens, Roger Nussbaum
ISBN-10: 0521898811
ISBN-13: 9780521898812
Publisher: Cambridge University Press
Language: English
Published: 05/03/2012
Pages: 336
Format: Hardcover
Weight: 1.40lbs
Size: 9.00h x 6.00w x 0.80d