Negative powers and the spectrum of matrices

Zdeněk Dostál

Commentationes Mathematicae Universitatis Carolinae (1979)

  • Volume: 020, Issue: 1, page 19-27
  • ISSN: 0010-2628

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Dostál, Zdeněk. "Negative powers and the spectrum of matrices." Commentationes Mathematicae Universitatis Carolinae 020.1 (1979): 19-27. <http://eudml.org/doc/16942>.

@article{Dostál1979,
author = {Dostál, Zdeněk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Negative Powers and the Spectrum of Matrices},
language = {eng},
number = {1},
pages = {19-27},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Negative powers and the spectrum of matrices},
url = {http://eudml.org/doc/16942},
volume = {020},
year = {1979},
}

TY - JOUR
AU - Dostál, Zdeněk
TI - Negative powers and the spectrum of matrices
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1979
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 020
IS - 1
SP - 19
EP - 27
LA - eng
KW - Negative Powers and the Spectrum of Matrices
UR - http://eudml.org/doc/16942
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. J. DANIEL T. PALMER, On σ ( T ) , ( T ) and T - 1 , Linear Algebra and Appl. 2 (1969), 381-386. (1969) MR0251561
  3. Z. DOSTÁL, l i n f t y -norm of iterates and the spectral radius of matrices, Comment. Math. Univ. Carolinae 19 (1978), 459-469. (1978) MR0508954
  4. Z. DOSTÁL, Polynomials of the eigenvalues and powers of matrices, Comment. Math. Univ. Carolinae 19 (1978), 459-469. (1978) MR0508954
  5. 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
  6. V. PTÁK, Spectral Radius, Norms of iterates, and the Critical Exponent, Linear Algebra Appl. 1 (1968), 245-260. (1968) MR0230744
  7. V. PTÁK, An infinite companion matrix, Comment. Math. Univ. Carolinae 19 (1978), 447-458. (1978) MR0508953
  8. V. PTÁK, The spectral radii of an operator and its modulus, Comment. Math. Univ. Carolinae 17 (1976), 273-279. (1976) MR0410416
  9. M. A. RASHID, Powers of a matrix, ZAMM 55, 271-272 (1975). (1975) Zbl0326.15006MR0384836
  10. H. C. WILLIAMS, Some properties of the general Lucas polynomials, Matrix Tensor Wuart. 21 (1971), 91-93. (1971) MR0285549
  11. N. J. YOUNG, Norms of matrix powers, Comment. Math. Univ. Carolinae 19 (1978), 415-430. (1978) Zbl0392.15003MR0508951
  12. N. J. YOUNG, Analytic programmes in matrix algebras, Proc. London Math. Soc. (3) 36 (1978), 226-242. (1978) Zbl0379.65023MR0484965

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