On Lidskii’s algorithm to quantify the first order terms in the asymptotics of a defective eigenvalue. Part II
نویسنده
چکیده
This report is a follow-up for [3]. Part II addresses a question left open in Part I: it consists in the analysis of the computation which can be realised at step j +1 of Lidskii’s algorithm when step j is non generic. This question is examined in the context of an appropriate modification of the existing Homotopic Deviation theory [1, 2]. Connections are made with the theory of square matrix pencils [9, 10].
منابع مشابه
On Lidskii’s algorithm to quantify the first order terms in the asymptotics of a defective eigenvalue. Part I
Lidskii’s perturbation theory ( → 0) is presented in algorithmic form. This clarifies the role of a singular step. When such a step is first encountered, the quantification becomes incomplete beyond the singularity in a way that is described. An application is made to Homotopic Deviation. In this particular case, the missing information can be provided by direct computation.
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تاریخ انتشار 2007