International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 79617, 12 pages
Asymptotic analysis of powers of matrices
Department of Mathematics, State University of New York at New Paltz, 75 S. Manheim Boulevard, Suite 9, New Paltz 12561-2443, NY, USA
Received 13 September 2005; Revised 28 May 2006; Accepted 30 May 2006
Copyright © 2006 Diego Dominici. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We analyze the representation of as a linear combination of , , where is a matrix. We obtain a first-order asymptotic approximation of as , without imposing any special conditions on . We give some examples showing the application of our results.