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Asymptotic analysis of powers of matrices

Diego Dominici
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Abstract

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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Diego Dominici. 2005-05-30. Asymptotic analysis of powers of matrices. https://arxiv.org/abs/math/0505659

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