# 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} }

- Published 2013 in Foundations of Computational Mathematics
DOI:10.1007/s10208-012-9121-0

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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