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- W2000814183 abstract "In this article, we present an algorithmic approach to the eigenvalue perturbation problem. We show that any matrix perturbation A(ε) of an arbitrary nilpotent Jordan canonical form J with all eigenvalues having an order of the form O(ε1/(a positive integer)) is similar to a matrix perturbation Atilde;(ε) in Arnold normal form that can be seen as generic. Calling A(ε) a κ-matrix and Atilde;(ε) a Lidskii-Arnold matrix, we also provide a reduction algorithm for the computation of the Lidskii-Arnold form of a κ-matrix. It is based on the minimization of the leading Jordan structure J and on Lidskii's genericity conditions for perturbed eigenvalues." @default.
- W2000814183 created "2016-06-24" @default.
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- W2000814183 date "2000-07-01" @default.
- W2000814183 modified "2023-09-25" @default.
- W2000814183 title "An algorithm for the eigenvalue perturbation problem" @default.
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- W2000814183 doi "https://doi.org/10.1145/345542.345627" @default.
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