Nonlinear Perron Frobenius Theory
Author | : Bas Lemmens |
Publisher | : |
Total Pages | : 338 |
Release | : 2014-05-14 |
ISBN-10 | : 1139379682 |
ISBN-13 | : 9781139379687 |
Rating | : 4/5 (687 Downloads) |
Download or read book Nonlinear Perron Frobenius Theory written by Bas Lemmens and published by . This book was released on 2014-05-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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"--