Technical communique: A characterization of the generalized spectral radius with Kronecker powers

  • Authors:
  • Jianhong Xu;Mingqing Xiao

  • Affiliations:
  • -;-

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2011

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Abstract

Based on Turan's power sum theory, we extend a recent result obtained by Blondel and Nesterov [Blondel, V. D., & Nesterov, Y. (2005). Computationally efficient approximations of the joint spectral radius, SIAM Journal on Matrix Analysis and Applications, 27, 256-272], by deriving a new characterization of the generalized spectral radius in terms of Kronecker powers.