Asymptotic analysis of powers of matrices
Diego Ernesto Dominici · International Journal of Mathematics and Mathematical Sciences · 2006
We analyze the representation of An as a linear combination of Aj, 0 ≤ j ≤ k − 1, where A is a k × k matrix. We obtain a first‐order asymptotic approximation of An as n → ∞, without imposing any special conditions on A. We give some examples showing the application of our results.