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Asymptotic analysis of powers of matrices

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  • Diego Dominici

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.

Suggested Citation

  • Diego Dominici, 2006. "Asymptotic analysis of powers of matrices," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-12, September.
    • Handle: RePEc:hin:jijmms:079617
    DOI: 10.1155/IJMMS/2006/79617
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