Asymptotic analysis of powers of matrices

Diego Dominici

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-12

Abstract:

We analyze the representation of A n as a linear combination of A j , 0 ≤ j ≤ k − 1 , where A is a k × k matrix. We obtain a first-order asymptotic approximation of A n as n → ∞ , without imposing any special conditions on A . We give some examples showing the application of our results.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:079617

DOI: 10.1155/IJMMS/2006/79617

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