arXiv
Open Access
2005
Non-variational approximation of discrete eigenvalues of self-adjoint operators
Lyonell Boulton
Abstrak
We establish sufficiency conditions in order to achieve approximation to discrete eigenvalues of self-adjoint operators in the second-order projection method suggested recently by Levitin and Shargorodsky, [math.SP/0212087]. We find explicit estimates for the eigenvalue error and study in detail two concrete model examples. Our results show that, unlike the majority of the standard methods, second-order projection strategies combine non-pollution and approximation at a very high level of generality.
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Lyonell Boulton
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2005
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- en
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- arXiv
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- Open Access ✓