Asymptotic analysis of powers of matrices
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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| Format: | Article |
| Language: | English |
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Hindawi Limited
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/79617 |