Title of article
Efficient algorithms for deciding the type of growth of products of integer matrices Original Research Article
Author/Authors
Raphaël M. Jungers، نويسنده , , Vladimir Protasov، نويسنده , , Vincent D. Blondel، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
16
From page
2296
To page
2311
Abstract
For a given finite set Σ of matrices with nonnegative integer entries we study the growth with t ofmax{double vertical barA1cdots, three dots, centeredAtdouble vertical bar:Aiset membership, variantΣ}.We show how to determine in polynomial time whether this growth is bounded, polynomial, or exponential, and we characterize all possible behaviors.
Keywords
Joint spectral radius , Integer matrices , Binary matrices , Semigroup of matrices , Bounded semigroup
Journal title
Linear Algebra and its Applications
Serial Year
2008
Journal title
Linear Algebra and its Applications
Record number
825922
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