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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.
|
| Loạt: | Cambridge tracts in mathematics ;
189. |
| Những chủ đề: | |
| Truy cập trực tuyến: | Cover image |
| LEADER | 02408cam a2200409 a 4500 | ||
|---|---|---|---|
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| 010 | |a 2011053268 | ||
| 015 | |a GBB201837 |2 bnb | ||
| 016 | 7 | |a 016004724 |2 Uk | |
| 020 | |a 9780521898812 (hardback) | ||
| 035 | |a (OCoLC)ocn772968381 | ||
| 042 | |a pcc | ||
| 049 | |a UIUU | ||
| 082 | 0 | 0 | |a 512/.5 |2 23 |
| 084 | |a 47-02 |2 msc | ||
| 092 | |a 512.5 | ||
| 100 | 1 | |a Lemmens, Bas. | |
| 245 | 1 | 0 | |a Nonlinear Perron-Frobenius theory / |c Bas Lemmens, Roger Nussbaum. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 2012. | ||
| 300 | |a xii, 323 p. : |b ill. ; |c 24 cm. | ||
| 490 | 1 | |a Cambridge tracts in mathematics ; |v 189 | |
| 504 | |a Includes bibliographical references (p. [307]-318) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a "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 to prove some of the theorems of Perron and Frobenius concerning eigenvectors and eigenvalues of nonnegative matrices. This idea has been pivotal for the development of nonlinear Perron-Frobenius theory"-- | ||
| 650 | 0 | |a Algebras, Linear. | |
| 650 | 0 | |a Eigenvalues. | |
| 650 | 0 | |a Eigenvectors. | |
| 650 | 0 | |a Non-negative matrices. | |
| 650 | 7 | |a MATHEMATICS / Differential Equations. |2 bisacsh | |
| 700 | 1 | |a Nussbaum, Roger D., | |
| 830 | 0 | |a Cambridge tracts in mathematics ; |v 189. | |
| 852 | 1 | |b mtx |h 512.5 |i L5438N | |
| 856 | 4 | 2 | |3 Cover image |u http://assets.cambridge.org/97805218/98812/cover/9780521898812.jpg |
| 942 | |c BK | ||
| 999 | |c 135834 |d 135834 | ||
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