asymptotic analysis of powers of matrices

asymptotic analysis of powers of matrices

;Diego Dominici
structural engineering and mechanics 2006 Vol. 2006 pp. -
43
dominici2006internationalasymptotic

Abstract

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.

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