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＜E-Book＞
Nonlinear Perron–Frobenius Theory / Bas Lemmens, Roger Nussbaum
(Cambridge Tracts in Mathematics ; 189)

Publisher	Cambridge : Cambridge University Press
Year	2012
Size	1 online resource (336 pages) : digital, PDF file(s)
Authors	*Lemmens, Bas author Nussbaum, Roger author
Subjects	LCSH:Non-negative matrices LCSH:Eigenvalues LCSH:Eigenvectors LCSH:Algebras, Linear
Notes	Title from publisher's bibliographic system (viewed on 11 Nov 2016) 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 HTTP:URL=http://dx.doi.org/10.1017/CBO9781139026079

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