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Nonlinear Perron–Frobenius Theory / Bas Lemmens, Roger Nussbaum
(Cambridge Tracts in Mathematics ; 189)

出版者 Cambridge : Cambridge University Press
出版年 2012
大きさ 1 online resource (336 pages) : digital, PDF file(s)
著者標目 *Lemmens, Bas author
Nussbaum, Roger author
件 名 LCSH:Non-negative matrices
LCSH:Eigenvalues
LCSH:Eigenvectors
LCSH:Algebras, Linear
一般注記 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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Cambridge Books Online 9781139026079
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EB00089669

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データ種別 電子ブック
分 類 LCC:QA188
DC23:512/.5
書誌ID 4000030949
ISBN 9781139026079

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