Matrix semigroups with constant spectral radius

Multiplicative matrix semigroups with constant spectral radius (c.s.r.) are studied and applied to several problems of algebra, combinatorics, functional equations, and dynamical systems. We show that all such semigroups are characterized by means of irreducible ones. Each irreducible c.s.r. semigro...

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Bibliographic Details
Published in:	Linear algebra and its applications Vol. 513; pp. 376 - 408
Main Authors:	Protasov, V.Yu, Voynov, A.S.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15.01.2017 American Elsevier Company, Inc
Subjects:	Combinatorial analysis Convex body Ellipsoid Euclidean space Finite matrix group Fractal curves Functional equations Joint spectral characteristics Linear algebra Linear switching systems Matrix Multiplicative semigroup Polynomial algorithm Polynomials Spectral radius Theorems Fractal curves Spectral radius 15B36 Convex body Finite matrix group Polynomial algorithm Linear switching systems 15A30 47D03 Multiplicative semigroup 15A60 Ellipsoid Joint spectral characteristics
ISSN:	0024-3795, 1873-1856
Online Access:	Get full text
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