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The second order spectrum and optimal convergence

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posted on 2023-06-08, 18:46 authored by Michael Strauss
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.

History

Publication status

  • Published

File Version

  • Published version

Journal

Mathematics of Computation

ISSN

0025-5718

Publisher

American Mathematical Society

Issue

284

Volume

82

Page range

2305-2325

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2014-10-22

First Open Access (FOA) Date

2014-10-22

First Compliant Deposit (FCD) Date

2014-10-22

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