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Nonlinear Perron-Frobenius theory /
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,...
| Cote: | Libro Electrónico |
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| Autres auteurs: | , |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Cambridge :
Cambridge University Press,
2012.
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| Collection: | Cambridge tracts in mathematics ;
189. |
| Sujets: | |
| Accès en ligne: | Texto completo |
| Résumé: | 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. |
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| Description: | Title from publishers bibliographic system (viewed 09 May 2012). |
| Description matérielle: | 1 online resource (xii, 323 pages) : illustrations, tables |
| Bibliographie: | Includes chapter notes and comments, bibliographical references (pages 307-318), list of symbols, and index. |
| ISBN: | 9781139026079 1139026070 9780521898812 0521898811 1280877952 9781280877957 9781139376822 1139376829 9781139379687 1139379682 9781139375399 1139375393 1107226341 9781107226340 9786613719263 6613719269 1139378252 9781139378253 1139371401 9781139371407 |