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Dostál, Zdeněk
Negative powers and the spectrum of matrices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 20 (1979), issue 1, pp. 19-27
MSC: 15A24, 15A25, 15A42 | MR 526144 | Zbl 0398.15012
References:
[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
[2] J. DANIEL T. PALMER: On $\sigma (T)$, $(T)$ and $T^{-1}$. Linear Algebra and Appl. 2 (1969), 381-386. MR 0251561
[3] Z. DOSTÁL: $l_{infty}$-norm of iterates and the spectral radius of matrices. Comment. Math. Univ. Carolinae 19 (1978), 459-469. MR 0508954
[4] Z. DOSTÁL: Polynomials of the eigenvalues and powers of matrices. Comment. Math. Univ. Carolinae 19 (1978), 459-469. MR 0508954
[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
[6] V. PTÁK: Spectral Radius, Norms of iterates, and the Critical Exponent. Linear Algebra Appl. 1 (1968), 245-260. MR 0230744
[7] V. PTÁK: An infinite companion matrix. Comment. Math. Univ. Carolinae 19 (1978), 447-458. MR 0508953
[8] V. PTÁK: The spectral radii of an operator and its modulus. Comment. Math. Univ. Carolinae 17 (1976), 273-279. MR 0410416
[9] M. A. RASHID: Powers of a matrix. ZAMM 55, 271-272 (1975). MR 0384836 | Zbl 0326.15006
[10] H. C. WILLIAMS: Some properties of the general Lucas polynomials. Matrix Tensor Wuart. 21 (1971), 91-93. MR 0285549
[11] N. J. YOUNG: Norms of matrix powers. Comment. Math. Univ. Carolinae 19 (1978), 415-430. MR 0508951 | Zbl 0392.15003
[12] N. J. YOUNG: Analytic programmes in matrix algebras. Proc. London Math. Soc. (3) 36 (1978), 226-242. MR 0484965 | Zbl 0379.65023
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