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Falseness of the Finiteness Property of the Spectral Subradius Cover
By: Adam Czornik and  Piotr Jurgaś  
Open Access
|Jul 2007

References

  1. Elsner L. (1995): The generalized spectral radius theorem: An analytic-geometric proof. — Linear Algebra Appl., Vol. 220, pp. 151-159.10.1016/0024-3795(93)00320-Y
  2. Blondel V.D., Theys J. and Vladimirov A.A. (2003): An elementary counterexample to the finitness conjecture. — SIAM J. Matrix Anal. Appl., Vol. 24, No. 4, pp. 963-970.10.1137/S0895479801397846
  3. Czornik A. (2005): On the generalized spectral subradius. — Linear Algebra Appl., Vol. 407, pp. 242-248.10.1016/j.laa.2005.05.006
  4. Horn R.A. and Johnson C.R. (1991): Topics in Matrix Analysis. — Cambridge, UK: Cambridge University Press.10.1017/CBO9780511840371
  5. Horn R.A. and Johnson C.R. (1985): Matrix Analysis. — Cambridge, UK: Cambridge University Press.10.1017/CBO9780511810817
  6. Lagarias J.C. and Wang Y. (1995): The finiteness conjecture for the generalized spectral radius of a set of matrices. — Linear Algebra Appl., Vol. 214, pp. 17-42.10.1016/0024-3795(93)00052-2
  7. Tsitsiklis J. and Blondel V. (1997): The Lyapunov exponent and joint spectral radius of pairs of matrices are hard - when not impossible to compute and to approximate. — Math. Contr. Signals Syst., Vol. 10, pp. 31-40.10.1007/BF01219774
DOI: https://doi.org/10.2478/v10006-007-0016-1 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 173 - 178
Published on: Jul 17, 2007
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2007 Adam Czornik, Piotr Jurgaś, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 17 (2007): Issue 2 (June 2007)