| Title:
|
Polynomials of the eigenvalues and powers of matrices (English) |
| Author:
|
Dostál, Zdeněk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
19 |
| Issue:
|
3 |
| Year:
|
1978 |
| Pages:
|
459-469 |
| . |
| Category:
|
math |
| . |
| MSC:
|
12D10 |
| MSC:
|
15A24 |
| MSC:
|
15A42 |
| MSC:
|
15A60 |
| MSC:
|
65F15 |
| idZBL:
|
Zbl 0392.15004 |
| idMR:
|
MR508954 |
| . |
| Date available:
|
2008-06-05T20:58:52Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105869 |
| . |
| Reference:
|
[1] R. BARAKAT E. BAUMAN: Mth power of an nxn matrix and its connection with the generalized Lucas polynomials.J. Math. Phys. 10 (1969), 1474-1476. MR 0246896 |
| Reference:
|
[2] Z. DOSTÁL: l-norm of iterates and the spectral radius of matrices.to be published. |
| Reference:
|
[3] J. L. LAVOIE: The $m$-th power of an nxn matrix and the Bell polynomials.SIAM J. Appl. Math. 29 (1975), 511-514. MR 0396617 |
| Reference:
|
[4] V. PTÁK: Spectral radius, norms of iterates, and the critical exponent.Linear Algebra Appl. 1 (1968), 245-260. MR 0230744 |
| Reference:
|
[5] V. PTÁK: An infinite companion matrix.Comment. Math. Univ. Carolinae 19 (1978), 447-458. MR 0508953 |
| Reference:
|
[6] M. A. RASHID: Powers of a matrix.ZAMM 55(1975), 271-272. Zbl 0326.15006, MR 0384836 |
| Reference:
|
[7] J. RIORDAN: Combinatorial Identities.John Wiley, New York (1968). Zbl 0194.00502, MR 0231725 |
| Reference:
|
[8] H. C. WILLIAMS: Some properties of the general Lucas polynomials.Matrix Tensor Quart. 21 (1971), 91-93. MR 0285549 |
| Reference:
|
[9] N. J. YOUNG: Norms of matrix powers.Comment. Math. Univ. Carolinae 19 (1978), 415-430. Zbl 0392.15003, MR 0508951 |
| . |
