Polynomials of the eigenvalues and powers of matrices

Zdeněk Dostál

Commentationes Mathematicae Universitatis Carolinae (1978)

  • Volume: 019, Issue: 3, page 459-469
  • ISSN: 0010-2628

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Dostál, Zdeněk. "Polynomials of the eigenvalues and powers of matrices." Commentationes Mathematicae Universitatis Carolinae 019.3 (1978): 459-469. <http://eudml.org/doc/16916>.

@article{Dostál1978,
author = {Dostál, Zdeněk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Polynomials of Eigenvalues and Powers Matrices; Companion Matrix Of Polynomial P},
language = {eng},
number = {3},
pages = {459-469},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Polynomials of the eigenvalues and powers of matrices},
url = {http://eudml.org/doc/16916},
volume = {019},
year = {1978},
}

TY - JOUR
AU - Dostál, Zdeněk
TI - Polynomials of the eigenvalues and powers of matrices
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1978
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 019
IS - 3
SP - 459
EP - 469
LA - eng
KW - Polynomials of Eigenvalues and Powers Matrices; Companion Matrix Of Polynomial P
UR - http://eudml.org/doc/16916
ER -

References

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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. 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. (1975) MR0396617
  4. V. PTÁK, Spectral radius, norms of iterates, and the critical exponent, Linear Algebra Appl. 1 (1968), 245-260. (1968) MR0230744
  5. V. PTÁK, An infinite companion matrix, Comment. Math. Univ. Carolinae 19 (1978), 447-458. (1978) MR0508953
  6. M. A. RASHID, Powers of a matrix, ZAMM 55(1975), 271-272. (1975) Zbl0326.15006MR0384836
  7. J. RIORDAN, Combinatorial Identities, John Wiley, New York (1968). (1968) Zbl0194.00502MR0231725
  8. H. C. WILLIAMS, Some properties of the general Lucas polynomials, Matrix Tensor Quart. 21 (1971), 91-93. (1971) MR0285549
  9. N. J. YOUNG, Norms of matrix powers, Comment. Math. Univ. Carolinae 19 (1978), 415-430. (1978) Zbl0392.15003MR0508951

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