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Record Nr. |
UNINA9910809659603321 |
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Autore |
Lemmens Bas |
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Titolo |
Nonlinear Perron-Frobenius theory / / Bas Lemmens, Roger Nussbaum [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2012 |
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ISBN |
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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 |
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Descrizione fisica |
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1 online resource (xii, 323 pages) : digital, PDF file(s) |
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Collana |
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Cambridge tracts in mathematics ; ; 189 |
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Classificazione |
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Disciplina |
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Soggetti |
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Non-negative matrices |
Eigenvalues |
Eigenvectors |
Algebras, Linear |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. [307]-318) and index. |
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Nota di contenuto |
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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. |
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Sommario/riassunto |
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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 |
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