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This article is cited in 36 scientific papers (total in 36 papers)
Typical Changes in Spectral Properties under Perturbations by a Rank-One Operator
S. V. Savchenko L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Abstract:
We show that under perturbations by a rank-one typical operator, a fixed eigenvalue loses one Jordan block of maximal order, while the orders of the other Jordan blocks remain unchanged. We construct the first-order perturbation theory for the new eigenvalues and the zero-order approximations to the corresponding eigenvectors.
Received: 07.08.2002
Citation:
S. V. Savchenko, “Typical Changes in Spectral Properties under Perturbations by a Rank-One Operator”, Mat. Zametki, 74:4 (2003), 590–602; Math. Notes, 74:4 (2003), 557–568
Linking options:
https://www.mathnet.ru/eng/mzm293https://doi.org/10.4213/mzm293 https://www.mathnet.ru/eng/mzm/v74/i4/p590
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Abstract page: | 886 | Full-text PDF : | 300 | References: | 82 | First page: | 2 |
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