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Nonlinear Perron–Frobenius Theory

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Title: Nonlinear Perron–Frobenius Theory
Description: 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.
Authors: Bas Lemmens, Roger Nussbaum
Resource Type: eBook.
Subjects: Algebras, Linear, Non-negative matrices, Eigenvalues, Eigenvectors
Categories: MATHEMATICS / Algebra / Linear
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 443672
RelevancyScore: 1044
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1044.26904296875
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  Data: Nonlinear Perron–Frobenius Theory
– Name: Abstract
  Label: Description
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  Data: 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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  Data: <searchLink fieldCode="AR" term="%22Bas+Lemmens%22">Bas Lemmens</searchLink><br /><searchLink fieldCode="AR" term="%22Roger+Nussbaum%22">Roger Nussbaum</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Algebras%2C+Linear%22">Algebras, Linear</searchLink><br /><searchLink fieldCode="DE" term="%22Non-negative+matrices%22">Non-negative matrices</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenvalues%22">Eigenvalues</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenvectors%22">Eigenvectors</searchLink>
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RecordInfo BibRecord:
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    Classifications:
      – Code: 512.5
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Algebras, Linear
        Type: general
      – SubjectFull: Non-negative matrices
        Type: general
      – SubjectFull: Eigenvalues
        Type: general
      – SubjectFull: Eigenvectors
        Type: general
    Titles:
      – TitleFull: Nonlinear Perron–Frobenius Theory
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Bas Lemmens
      – PersonEntity:
          Name:
            NameFull: Roger Nussbaum
      – PersonEntity:
          Name:
            NameFull: Bas Lemmens
      – PersonEntity:
          Name:
            NameFull: Roger Nussbaum
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2012
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9780521898812
            – Type: isbn-electronic
              Value: 9781139379687
          Numbering:
            – Type: volume
              Value: 00189
          Titles:
            – TitleFull: Nonlinear Perron–Frobenius Theory
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