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Strauss, Michael (2013) The second order spectrum and optimal convergence. Mathematics of Computation, 82 (284). pp. 2305-2325. ISSN 0025-5718
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Official URL: http://dx.doi.org/10.1090/S0025-5718-2013-02693-2
Abstract
The method of second order relative spectra has been shown to reliably approximate the discrete spectrum for a self-adjoint operator. We extend the method to normal operators and find optimal convergence rates for eigenvalues and eigenspaces. The convergence to eigenspaces is new, while the convergence rate for eigenvalues improves on the previous estimate by an order of magnitude.
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Subjects: | Q Science > QA Mathematics > QA0299 Analysis. Including analytical methods connected with physical problems |
Depositing User: | Michael Strauss |
Date Deposited: | 22 Oct 2014 10:21 |
Last Modified: | 02 Jul 2019 23:48 |
URI: | http://sro.sussex.ac.uk/id/eprint/50688 |
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