The Perron generalized eigenspace and the spectral cone of a cone-preserving map

A unified treatment is offered to reprove known results on the following four highlights of the combinatorial spectral theory of nonnegative matrices, or to extend (or partly extend) the results to the setting of a linear map preserving a polyhedral proper (or proper) cone: the preferred-basis theor...

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Bibliographic Details
Published in:	Linear algebra and its applications Vol. 393; pp. 375 - 429
Main Author:	Tam, Bit-Shun
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.12.2004
Subjects:	Cone-preserving map Height characteristic Level characteristics Majorization relation Nonnegative matrix Perron generalized eigenspace Preferred-basis theorem Principal component Semi-distinguished invariant face Spectral cone Principal component Nonnegative matrix Height characteristic Level characteristics Semi-distinguished invariant face Perron generalized eigenspace Preferred-basis theorem Spectral cone 15A48 Cone-preserving map Majorization relation
ISSN:	0024-3795, 1873-1856
Online Access:	Get full text
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