Falseness of the Finiteness Property of the Spectral Subradius

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-YSearch in Google Scholar

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/S0895479801397846Search in Google Scholar

Czornik A. (2005): On the generalized spectral subradius. — Linear Algebra Appl., Vol. 407, pp. 242-248.10.1016/j.laa.2005.05.006Search in Google Scholar

Horn R.A. and Johnson C.R. (1991): Topics in Matrix Analysis. — Cambridge, UK: Cambridge University Press.10.1017/CBO9780511840371Search in Google Scholar

Horn R.A. and Johnson C.R. (1985): Matrix Analysis. — Cambridge, UK: Cambridge University Press.10.1017/CBO9780511810817Search in Google Scholar

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)00052-2Search in Google Scholar

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/BF01219774Search in Google Scholar