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Nonlinear Perron-Frobenius theory /

Lemmens, Bas.

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Nonlinear Perron-Frobenius theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Nonlinear Perron-Frobenius theory // Bas Lemmens, Roger Nussbaum.
作者:	Lemmens, Bas.
其他作者:	Nussbaum, Roger D.,
出版者:	Cambridge ;Cambridge University Press, : 2012.,
面頁冊數:	xii, 323 p. :ill. ;24 cm.
標題:	Algebras, Linear. -
電子資源:	http://assets.cambridge.org/97805218/98812/cover/9780521898812.jpg
ISBN:	9780521898812 (hbk.) :

Nonlinear Perron-Frobenius theory /
Lemmens, Bas.

Nonlinear Perron-Frobenius theory /Bas Lemmens, Roger Nussbaum. - Cambridge ;Cambridge University Press,2012. - xii, 323 p. :ill. ;24 cm. - Cambridge tracts in mathematics ;189.

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

What is 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 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"--

ISBN: 9780521898812 (hbk.) :US99.00

LCCN: 2011053268Subjects--Topical Terms:

521915
Algebras, Linear.

LC Class. No.: QA188 / .L456 2012

Dewey Class. No.: 512/.5

Nonlinear Perron-Frobenius theory /
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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 0 $a Cambridge tracts in mathematics ; $v 189
504 $a Includes bibliographical references (p. [307]-318) and index.
505 0 # $t What is nonlinear Perron-Frobenius theory? -- $t Non-expansiveness and nonlinear Perron-Frobenius theory -- $t Dynamics of non-expansive maps -- $t Sup-norm non-expansive maps -- $t Eigenvectors and eigenvalues of nonlinear cone maps -- $t Eigenvectors in the interior of the cone -- $t Applications to matrix scaling problems -- $t Dynamics of subhomogeneous maps -- $t Dynamics of integral-preserving maps -- $t Appendix A : the Birkhoff-Hopf theorem -- $t Appendix B : classical Perron-Frobenius theory.
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"-- $c Provided by publisher.
650 # 0 $a Algebras, Linear. $3 521915
650 # 0 $a Eigenvalues. $3 631789
650 # 0 $a Eigenvectors. $3 836550
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