Exact Computation of Joint Spectral Characteristics of Linear Operators

@article{Guglielmi2013ExactCO,
  title={Exact Computation of Joint Spectral Characteristics of Linear Operators},
  author={Nicola Guglielmi and Vladimir Protasov},
  journal={Foundations of Computational Mathematics},
  year={2013},
  volume={13},
  pages={37-97}
}
We address the problem of the exact computation of two joint spectral characteristics of a family of linear operators, the joint spectral radius (JSR) and the lower spectral radius (LSR), which are well-known different generalizations to a set of operators of the usual spectral radius of a linear operator. In this paper we develop a method which—under suitable assumptions—allows us to compute the JSR and the LSR of a finite family of matrices exactly. We remark that so far no algorithm has been… CONTINUE READING
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