| Title:
|
Negative powers and the spectrum of matrices (English) |
| Author:
|
Dostál, Zdeněk |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
20 |
| Issue:
|
1 |
| Year:
|
1979 |
| Pages:
|
19-27 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A24 |
| MSC:
|
15A25 |
| MSC:
|
15A42 |
| idZBL:
|
Zbl 0398.15012 |
| idMR:
|
MR526144 |
| . |
| Date available:
|
2008-06-05T21:00:08Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105898 |
| . |
| 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] J. DANIEL T. PALMER: On $\sigma (T)$, $(T)$ and $T^{-1}$.Linear Algebra and Appl. 2 (1969), 381-386. MR 0251561 |
| Reference:
|
[3] Z. DOSTÁL: $l_{infty}$-norm of iterates and the spectral radius of matrices.Comment. Math. Univ. Carolinae 19 (1978), 459-469. MR 0508954 |
| Reference:
|
[4] Z. DOSTÁL: Polynomials of the eigenvalues and powers of matrices.Comment. Math. Univ. Carolinae 19 (1978), 459-469. MR 0508954 |
| Reference:
|
[5] 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:
|
[6] V. PTÁK: Spectral Radius, Norms of iterates, and the Critical Exponent.Linear Algebra Appl. 1 (1968), 245-260. MR 0230744 |
| Reference:
|
[7] V. PTÁK: An infinite companion matrix.Comment. Math. Univ. Carolinae 19 (1978), 447-458. MR 0508953 |
| Reference:
|
[8] V. PTÁK: The spectral radii of an operator and its modulus.Comment. Math. Univ. Carolinae 17 (1976), 273-279. MR 0410416 |
| Reference:
|
[9] M. A. RASHID: Powers of a matrix.ZAMM 55, 271-272 (1975). Zbl 0326.15006, MR 0384836 |
| Reference:
|
[10] H. C. WILLIAMS: Some properties of the general Lucas polynomials.Matrix Tensor Wuart. 21 (1971), 91-93. MR 0285549 |
| Reference:
|
[11] N. J. YOUNG: Norms of matrix powers.Comment. Math. Univ. Carolinae 19 (1978), 415-430. Zbl 0392.15003, MR 0508951 |
| Reference:
|
[12] N. J. YOUNG: Analytic programmes in matrix algebras.Proc. London Math. Soc. (3) 36 (1978), 226-242. Zbl 0379.65023, MR 0484965 |
| . |
