Limit and extended limit sets of matrices in Jordan normal form
George Costakis, Antonios Manoussos
TL;DR
This paper characterizes the limit and extended limit sets of vectors under matrices in Jordan normal form, providing a detailed description of their asymptotic behavior.
Contribution
It offers a comprehensive analysis of limit and extended limit sets specifically for matrices in Jordan normal form, which was not previously detailed.
Findings
Explicit descriptions of limit sets for Jordan matrices
Characterization of extended limit sets in Jordan form
Insights into asymptotic dynamics of linear operators
Abstract
In this note we describe the limit and the extended limit sets of every vector for a single matrix in Jordan normal form.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra · Holomorphic and Operator Theory