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.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2006-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/79617 |
| id |
doaj-955922fc6ca04e05ad66ede658526915 |
|---|---|
| record_format |
Article |
| spelling |
doaj-955922fc6ca04e05ad66ede6585269152020-11-24T22:46:09ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/7961779617Asymptotic analysis of powers of matricesDiego Dominici0Department of Mathematics, State University of New York at New Paltz, 75 S. Manheim Boulevard, Suite 9, New Paltz 12561-2443, NY, USAWe 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.http://dx.doi.org/10.1155/IJMMS/2006/79617 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Diego Dominici |
| spellingShingle |
Diego Dominici Asymptotic analysis of powers of matrices International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Diego Dominici |
| author_sort |
Diego Dominici |
| title |
Asymptotic analysis of powers of matrices |
| title_short |
Asymptotic analysis of powers of matrices |
| title_full |
Asymptotic analysis of powers of matrices |
| title_fullStr |
Asymptotic analysis of powers of matrices |
| title_full_unstemmed |
Asymptotic analysis of powers of matrices |
| title_sort |
asymptotic analysis of powers of matrices |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2006-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/IJMMS/2006/79617 |
| work_keys_str_mv |
AT diegodominici asymptoticanalysisofpowersofmatrices |
| _version_ |
1725686152685420544 |