The peripheral spectrum of a nonnegative matrix

In this paper we provide a necessary and sufficient condition for a collection of Jordan blocks to correspond to the peripheral spectrum of a nonnegative matrix. We arrive at our condition by linking the Tam–Schneider condition to the level sets (with respect to the spectral radius) of a nonnegative...

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Bibliographic Details
Published in:Linear algebra and its applications 2003-04, Vol.363, p.217-235
Main Author: McDonald, Judith J.
Format: Article
Language:English
Subjects:
Algebra
Exact sciences and technology
Linear and multilinear algebra, matrix theory
Mathematics
Sciences and techniques of general use
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Summary:In this paper we provide a necessary and sufficient condition for a collection of Jordan blocks to correspond to the peripheral spectrum of a nonnegative matrix. We arrive at our condition by linking the Tam–Schneider condition to the level sets (with respect to the spectral radius) of a nonnegative matrix.
ISSN:0024-3795
1873-1856
DOI:10.1016/S0024-3795(02)00616-X