Book contents
- Frontmatter
- Contents
- 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
3 - Dynamics of non-expansive maps
Published online by Cambridge University Press: 05 May 2012
- Frontmatter
- Contents
- 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
Summary
- Type
- Chapter
- Information
- Nonlinear Perron–Frobenius Theory , pp. 58 - 80Publisher: Cambridge University PressPrint publication year: 2012