Negative powers and the spectrum of matrices

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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. (1969) MR0246896
2. J. DANIEL T. PALMER, On $\sigma \left(T\right)$, $\left(T\right)$ and $T^{-1}$, Linear Algebra and Appl. 2 (1969), 381-386. (1969) MR0251561
3. Z. DOSTÁL, $l_{infty}$-norm of iterates and the spectral radius of matrices, Comment. Math. Univ. Carolinae 19 (1978), 459-469. (1978) MR0508954
4. Z. DOSTÁL, Polynomials of the eigenvalues and powers of matrices, Comment. Math. Univ. Carolinae 19 (1978), 459-469. (1978) MR0508954
5. J. L. LAVOIE, The m-th power of an nxn matrix and the Bell polynomials, SIAM J. Appl. Math. 29 (1975), 511-514. (1975) MR0396617
6. V. PTÁK, Spectral Radius, Norms of iterates, and the Critical Exponent, Linear Algebra Appl. 1 (1968), 245-260. (1968) MR0230744
7. V. PTÁK, An infinite companion matrix, Comment. Math. Univ. Carolinae 19 (1978), 447-458. (1978) MR0508953
8. V. PTÁK, The spectral radii of an operator and its modulus, Comment. Math. Univ. Carolinae 17 (1976), 273-279. (1976) MR0410416
9. M. A. RASHID, Powers of a matrix, ZAMM 55, 271-272 (1975). (1975) Zbl0326.15006MR0384836
10. H. C. WILLIAMS, Some properties of the general Lucas polynomials, Matrix Tensor Wuart. 21 (1971), 91-93. (1971) MR0285549
11. N. J. YOUNG, Norms of matrix powers, Comment. Math. Univ. Carolinae 19 (1978), 415-430. (1978) Zbl0392.15003MR0508951
12. N. J. YOUNG, Analytic programmes in matrix algebras, Proc. London Math. Soc. (3) 36 (1978), 226-242. (1978) Zbl0379.65023MR0484965