Asymptotic analysis of powers of matrices

Details Asymptotic analysis of powers of matrices Asymptotic analysis of powers of matrices

2005-05-30

arxiv.org/abs/math/0505659v1

Mathematics

Classical Analysis and ODEs

14 pages

Scientific paper

We analyze the representation of $A^{n}$ as a linear combination of $A^{j},\
0\leq j\leq k-1,$ where $A$ is a $k\times k$ matrix. We obtain a first order
asymptotic approximation of $A^{n}$ as $n\to\infty,$ without imposing any
special conditions on $A.$
We give some examples showing the application of our results.

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