| Title |
Local two-sided bounds for eigenvalues of self-adjoint operators
|
|---|---|
| Published in |
Numerische Mathematik, July 2016
|
| DOI | 10.1007/s00211-016-0822-1 |
| Pubmed ID | |
| Authors |
G. R. Barrenechea, L. Boulton, N. Boussaïd |
| Abstract |
We examine the equivalence between an extension of the Lehmann-Maehly-Goerisch method developed a few years ago by Zimmermann and Mertins, and a geometrically motivated method developed more recently by Davies and Plum. We establish a general framework which allows sharpening various previously known results in these two settings and determine explicit convergence estimates for both methods. We demonstrate the applicability of the method of Zimmermann and Mertins by means of numerical tests on the resonant cavity problem. |
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Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United Kingdom | 1 | 100% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 1 | 100% |
Mendeley readers
The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Unknown | 3 | 100% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Professor | 1 | 33% |
| Researcher | 1 | 33% |
| Lecturer > Senior Lecturer | 1 | 33% |
| Readers by discipline | Count | As % |
|---|---|---|
| Mathematics | 2 | 67% |
| Computer Science | 1 | 33% |
Attention Score in Context
This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 13 September 2016.
All research outputs
#20,341,859
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Outputs from Numerische Mathematik
#240
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#308,121
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Outputs of similar age from Numerische Mathematik
#3
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