Nonlinear Perron-Frobenius theory / / Bas Lemmens, Roger Nussbaum [[electronic resource]]
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| Autore: |
Lemmens Bas
|
| Titolo: |
Nonlinear Perron-Frobenius theory / / Bas Lemmens, Roger Nussbaum [[electronic resource]]
|
| Pubblicazione: | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica: | 1 online resource (xii, 323 pages) : digital, PDF file(s) |
| Disciplina: | 512/.5 |
| Soggetto topico: | Non-negative matrices |
| Eigenvalues | |
| Eigenvectors | |
| Algebras, Linear | |
| Classificazione: | MAT007000 |
| Persona (resp. second.): | NussbaumRoger D. <1944-> |
| Note generali: | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| Nota di bibliografia: | Includes bibliographical references (p. [307]-318) and index. |
| Nota di contenuto: | Preface -- What is nonlinear Perron-Frobenius theory? -- Non-expansiveness and nonlinear Perron-Frobenius theory -- Dynamics of non-expansive maps -- Sup-norm non-expansive maps -- Eigenvectors and eigenvalues of nonlinear cone maps -- Eigenvectors in the interior of the cone -- Applications to matrix scaling problems -- Dynamics of subhomogeneous maps -- Dynamics of integral-preserving maps -- Appendix A. The Birkhoff-Hopf theorem -- Appendix B. Classical Perron-Frobenius theory. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Nonlinear Perron-Frobenius theory |
| ISBN: | 1-107-22634-1 |
| 1-280-87795-2 | |
| 9786613719263 | |
| 1-139-37825-2 | |
| 1-139-02607-0 | |
| 1-139-37539-3 | |
| 1-139-37140-1 | |
| 1-139-37968-2 | |
| 1-139-37682-9 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910809659603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Cambridge tracts in mathematics ; ; 189.