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On Positive Integer Powers of Toeplitz Matrices
| Content Provider | Scilit |
|---|---|
| Author | Wu, Honglin |
| Copyright Year | 2013 |
| Description | In this paper, we restate a necessary and sufficient condition for all positive integer powers of a Toeplitz matrix to be still Toeplitz matrices which was ever studied by T. N. E. Greville (1983) and Tamir Shalom (1987), and our new proof is clear and self-contained. We also derive some identities involving the entries of the Toeplitz matrix and those of its positive integer powers in case that the powers are still Toeplitz matrices. |
| ISSN | 19169795 |
| e-ISSN | 19169809 |
| DOI | 10.5539/jmr.v5n4p52 |
| Alternate Webpage(s) | http://www.ccsenet.org/journal/index.php/jmr/article/download/32011/18617 |
| Journal | Journal of Mathematics Research |
| Issue Number | 4 |
| Volume Number | 5 |
| Language | English |
| Publisher | Canadian Center of Science and Education |
| Publisher Date | 2013-09-29 |
| Access Restriction | Open |
| Subject Keyword | Mathematical Physics Toeplitz Matrices Positive Integer Powers Powers of Toeplitz |
| Content Type | Text |
| Resource Type | Article |