Vai al contenuto principale della pagina

Nonlinear Perron-Frobenius theory / / Bas Lemmens, Roger Nussbaum [[electronic resource]]



(Visualizza in formato marc)    (Visualizza in BIBFRAME)

Autore: Lemmens Bas Visualizza persona
Titolo: Nonlinear Perron-Frobenius theory / / Bas Lemmens, Roger Nussbaum [[electronic resource]] Visualizza cluster
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  Visualizza cluster
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.: 9910790305303321
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Serie: Cambridge tracts in mathematics ; ; 189.