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Dostál, Zdeněk
Polynomials of the eigenvalues and powers of matrices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 19 (1978), issue 3, pp. 459-469
MSC: 12D10, 15A24, 15A42, 15A60, 65F15 | MR 508954 | Zbl 0392.15004
References:
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[2] Z. DOSTÁL: l-norm of iterates and the spectral radius of matrices. to be published.
[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
[4] V. PTÁK: Spectral radius, norms of iterates, and the critical exponent. Linear Algebra Appl. 1 (1968), 245-260. MR 0230744
[5] V. PTÁK: An infinite companion matrix. Comment. Math. Univ. Carolinae 19 (1978), 447-458. MR 0508953
[6] M. A. RASHID: Powers of a matrix. ZAMM 55(1975), 271-272. MR 0384836 | Zbl 0326.15006
[7] J. RIORDAN: Combinatorial Identities. John Wiley, New York (1968). MR 0231725 | Zbl 0194.00502
[8] H. C. WILLIAMS: Some properties of the general Lucas polynomials. Matrix Tensor Quart. 21 (1971), 91-93. MR 0285549
[9] N. J. YOUNG: Norms of matrix powers. Comment. Math. Univ. Carolinae 19 (1978), 415-430. MR 0508951 | Zbl 0392.15003
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