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题名/责任者:

Nonlinear Perron-Frobenius theory / Bas Lemmens, Roger Nussbaum.

出版发行项:

Cambridge ; New York : Cambridge University Press, 2012.

ISBN:

9780521898812 (hardback)

载体形态项:

xii, 323 p. : ill. ; 24 cm.

丛编说明:

Cambridge tracts in mathematics ; 189

个人责任者:

Lemmens, Bas.

附加个人名称:

Nussbaum, Roger D., 1944-

论题主题:

Non-negative matrices.

论题主题:

Eigenvalues.

论题主题:

Eigenvectors.

论题主题:

Algebras, Linear.

中图法分类号:

O151.21

书目附注:

Includes bibliographical references (p. [307]-318) and index.

摘要附注:

"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" --

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