S0025-5718-2013-02693-2.pdf (429.52 kB)
The second order spectrum and optimal convergence
journal contribution
posted on 2023-06-08, 18:46 authored by Michael StraussThe 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.
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Publication status
- Published
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- Published version
Journal
Mathematics of ComputationISSN
0025-5718Publisher
American Mathematical SocietyExternal DOI
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284Volume
82Page range
2305-2325Department affiliated with
- Mathematics Publications
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- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2014-10-22First Open Access (FOA) Date
2014-10-22First Compliant Deposit (FCD) Date
2014-10-22Usage metrics
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