Exact Computation of Joint Spectral Characteristics of Linear Operators
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 whichunder suitable assumptionsallows us to compute the JSR and the LSR of a finite family of matrices exactly. We remark that so far no algorithm has been available in the literature to compute the LSR exactly.
linear operator joint spectral radius lower spectral radius algorithm polytope extremal norm antinorm 15a60 15-04 15a18 90c90