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Nonlinear Perron-Frobenius theory /
"Sometimes in mathematics an innocent-looking observation opens up a new road to a fertile field. A nice example of such an observation is due to Garrett Birkhoff [23] and Hans Samelson [187], who remarked that one can use Hilbert's (projective) metric and the contraction mapping principle...
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| Tác giả khác: | |
| Định dạng: | Printed Book |
| Ngôn ngữ: | English |
| Được phát hành: |
Cambridge ; New York :
Cambridge University Press,
2012.
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| Loạt: | Cambridge tracts in mathematics ;
189. |
| Những chủ đề: | |
| Truy cập trực tuyến: | Cover image |
Mục lục:
- 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.