论文信息 - Remarks on the perturbation of analytic matrix functions II

Remarks on the perturbation of analytic matrix functions II

As in [N], [LN] the Newton diagram is used in order to get information about the first terms of the Puiseux expansions of the eigenvalues λ(e) of the perturbed matrix pencilT(λ, e)=A(λ)+B(λ, e) in the neighbourhood of an unperturbed eigenvalue λ(∈) ofA(λ). In fact sufficient conditions are given which assure that the orders of these first terms correspond to the partial multiplicities of the eigenvalue λ0 ofA(λ).

H. Langer | B. Najman

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