Polynomials of the eigenvalues and powers of matrices
Dostál, Zdeněk
Commentationes Mathematicae Universitatis Carolinae, Tome 019 (1978), p. 459-469 / Harvested from Czech Digital Mathematics Library
Publié le : 1978-01-01
Classification:  12D10,  15A24,  15A42,  15A60,  65F15
@article{105869,
     author = {Zden\v ek Dost\'al},
     title = {Polynomials of the eigenvalues and powers of matrices},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {019},
     year = {1978},
     pages = {459-469},
     zbl = {0392.15004},
     mrnumber = {508954},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105869}
}
Dostál, Zdeněk. Polynomials of the eigenvalues and powers of matrices. Commentationes Mathematicae Universitatis Carolinae, Tome 019 (1978) pp. 459-469. http://gdmltest.u-ga.fr/item/105869/

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) | MR 0246896

Z. Dostál l-norm of iterates and the spectral radius of matrices, to be published.

J. L. Lavoie The $m$-th power of an nxn matrix and the Bell polynomials, SIAM J. Appl. Math. 29 (1975), 511-514. (1975) | MR 0396617

V. Pták Spectral radius, norms of iterates, and the critical exponent, Linear Algebra Appl. 1 (1968), 245-260. (1968) | MR 0230744

V. Pták An infinite companion matrix, Comment. Math. Univ. Carolinae 19 (1978), 447-458. (1978) | MR 0508953

M. A. Rashid Powers of a matrix, ZAMM 55(1975), 271-272. (1975) | MR 0384836 | Zbl 0326.15006

J. Riordan Combinatorial Identities, John Wiley, New York (1968). (1968) | MR 0231725 | Zbl 0194.00502

H. C. Williams Some properties of the general Lucas polynomials, Matrix Tensor Quart. 21 (1971), 91-93. (1971) | MR 0285549

N. J. Young Norms of matrix powers, Comment. Math. Univ. Carolinae 19 (1978), 415-430. (1978) | MR 0508951 | Zbl 0392.15003