|
科图分类法:
|
O151.21 版次： |
|
中图分类法:
|
O151.21 版次： |
|
著者:
|
Lemmens, Bas. |
|
题名:
|
Nonlinear Perron-Frobenius theory / / , |
|
出版发行:
|
出版地： Cambridge : 出版社： Cambridge University Press, 出版日期： 2012. |
|
载体形态:
|
xii, 323 p. : ill. ; 24 cm. |
|
内容提要:
|
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. |
|
主题词:
|
Non-negative matrices. |
|
主题词:
|