Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Bas Lemmens is a Lecturer in Mathematics at the University of Kent, Canterbury. His research interests lie in nonlinear operator theory, dynamical systems theory and metric geometry. He is one of the key developers of nonlinear Perron-Frobenius theory.
Inhaltsangabe
Preface 1. What is nonlinear Perron-Frobenius theory? 2. Non-expansiveness and nonlinear Perron-Frobenius theory 3. Dynamics of non-expansive maps 4. Sup-norm non-expansive maps 5. Eigenvectors and eigenvalues of nonlinear cone maps 6. Eigenvectors in the interior of the cone 7. Applications to matrix scaling problems 8. Dynamics of subhomogeneous maps 9. Dynamics of integral-preserving maps Appendix A. The Birkhoff-Hopf theorem Appendix B. Classical Perron-Frobenius theory Notes and comments References List of symbols Index.
Preface 1. What is nonlinear Perron-Frobenius theory? 2. Non-expansiveness and nonlinear Perron-Frobenius theory 3. Dynamics of non-expansive maps 4. Sup-norm non-expansive maps 5. Eigenvectors and eigenvalues of nonlinear cone maps 6. Eigenvectors in the interior of the cone 7. Applications to matrix scaling problems 8. Dynamics of subhomogeneous maps 9. Dynamics of integral-preserving maps Appendix A. The Birkhoff-Hopf theorem Appendix B. Classical Perron-Frobenius theory Notes and comments References List of symbols Index.
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