Perturbation analysis for the eigenproblem of periodic matrix pairs

This paper is devoted to perturbation analysis for the eigenproblem of periodic matrix pairs {(Aj,Ej)}Kj=1. We first study perturbation expansions of periodic deflating subspaces and eigenvalue pairs. Then, we derive explicit expressions of condition numbers, perturbation bounds and backward errors for eigenvalue pairs and periodic deflating subspaces.