Polynomials of the eigenvalues and powers of matrices
Commentationes Mathematicae Universitatis Carolinae, Tome 19 (1978) no. 3, pp. 459-469 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 12D10, 15A24, 15A42, 15A60, 65F15
@article{CMUC_1978_19_3_a3,
     author = {Dost\'al, Zden\v{e}k},
     title = {Polynomials of the eigenvalues and powers of matrices},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {459--469},
     year = {1978},
     volume = {19},
     number = {3},
     mrnumber = {508954},
     zbl = {0392.15004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1978_19_3_a3/}
}
TY  - JOUR
AU  - Dostál, Zdeněk
TI  - Polynomials of the eigenvalues and powers of matrices
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1978
SP  - 459
EP  - 469
VL  - 19
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMUC_1978_19_3_a3/
LA  - en
ID  - CMUC_1978_19_3_a3
ER  - 
%0 Journal Article
%A Dostál, Zdeněk
%T Polynomials of the eigenvalues and powers of matrices
%J Commentationes Mathematicae Universitatis Carolinae
%D 1978
%P 459-469
%V 19
%N 3
%U http://geodesic.mathdoc.fr/item/CMUC_1978_19_3_a3/
%G en
%F CMUC_1978_19_3_a3
Dostál, Zdeněk. Polynomials of the eigenvalues and powers of matrices. Commentationes Mathematicae Universitatis Carolinae, Tome 19 (1978) no. 3, pp. 459-469. http://geodesic.mathdoc.fr/item/CMUC_1978_19_3_a3/

[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] 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

[4] V. PTÁK: Spectral radius, norms of iterates, and the critical exponent. Linear Algebra Appl. 1 (1968), 245-260. | MR

[5] V. PTÁK: An infinite companion matrix. Comment. Math. Univ. Carolinae 19 (1978), 447-458. | MR

[6] M. A. RASHID: Powers of a matrix. ZAMM 55(1975), 271-272. | MR | Zbl

[7] J. RIORDAN: Combinatorial Identities. John Wiley, New York (1968). | MR | Zbl

[8] H. C. WILLIAMS: Some properties of the general Lucas polynomials. Matrix Tensor Quart. 21 (1971), 91-93. | MR

[9] N. J. YOUNG: Norms of matrix powers. Comment. Math. Univ. Carolinae 19 (1978), 415-430. | MR | Zbl