Perturbation Analysis for the Eigenvalue Problem of a Formal Product of Matrices

作者: Peter Benner , Volker Mehrmann , Hongguo Xu

DOI: 10.1023/A:1021966001542

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摘要: We study the perturbation theory for eigenvalue problem of a formal matrix product A 1 s ··· p p, where all Ak are square and sk ∈ {−1, 1}. generalize classical results matrices pencils to generalized deflating subspaces eigenvalues such products. As an application we then extend structured Hamiltonian Hamiltonian/skew-Hamiltonian pencils.

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