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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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Bibliographic Details
Main Author: Lemmens, Bas
Other Authors: Nussbaum, Roger D.
Format: Printed Book
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2012.
Series:Cambridge tracts in mathematics ; 189.
Subjects:
Online Access:Cover image
Description
Summary:"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"--
Physical Description:xii, 323 p. : ill. ; 24 cm.
Bibliography:Includes bibliographical references (p. [307]-318) and index.
ISBN:9780521898812 (hardback)