Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
Dostál, Zdeněk. Negative powers and the spectrum of matrices. Commentationes Mathematicae Universitatis Carolinae, Tome 20 (1979) no. 1, pp. 19-27. http://geodesic.mathdoc.fr/item/CMUC_1979_20_1_a1/
@article{CMUC_1979_20_1_a1,
author = {Dost\'al, Zden\v{e}k},
title = {Negative powers and the spectrum of matrices},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {19--27},
year = {1979},
volume = {20},
number = {1},
mrnumber = {526144},
zbl = {0398.15012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1979_20_1_a1/}
}
[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
[2] J. DANIEL T. PALMER: On $\sigma (T)$, $(T)$ and $T^{-1}$. Linear Algebra and Appl. 2 (1969), 381-386. | MR
[3] Z. DOSTÁL: $l_{infty}$-norm of iterates and the spectral radius of matrices. Comment. Math. Univ. Carolinae 19 (1978), 459-469. | MR
[4] Z. DOSTÁL: Polynomials of the eigenvalues and powers of matrices. Comment. Math. Univ. Carolinae 19 (1978), 459-469. | MR
[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
[6] V. PTÁK: Spectral Radius, Norms of iterates, and the Critical Exponent. Linear Algebra Appl. 1 (1968), 245-260. | MR
[7] V. PTÁK: An infinite companion matrix. Comment. Math. Univ. Carolinae 19 (1978), 447-458. | MR
[8] V. PTÁK: The spectral radii of an operator and its modulus. Comment. Math. Univ. Carolinae 17 (1976), 273-279. | MR
[9] M. A. RASHID: Powers of a matrix. ZAMM 55, 271-272 (1975). | MR | Zbl
[10] H. C. WILLIAMS: Some properties of the general Lucas polynomials. Matrix Tensor Wuart. 21 (1971), 91-93. | MR
[11] N. J. YOUNG: Norms of matrix powers. Comment. Math. Univ. Carolinae 19 (1978), 415-430. | MR | Zbl
[12] N. J. YOUNG: Analytic programmes in matrix algebras. Proc. London Math. Soc. (3) 36 (1978), 226-242. | MR | Zbl