Minimal Eigenvalue of the Coxeter Laplacian for the Symmetrical Group
โ Scribed by R. Bacher
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 428 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
## Abstract It is shown that there exist domains ฮฉ โ โ^__N__^, which outside of some ball coincide with the strip โ^__N__ โ 1^ ร (0, ฯ) and for which the Dirichlet Laplacian โ ฮ has eigenvalues within the subinterval (1, 4) of the essential spectrum (1, โ).
A new iterative method based on a Newton correction vector for extension of the Krylov subspace, its diagonal, and band versions are proposed for calculation of selected lowest eigenvalues and corresponding eigenvectors of the generalized symmetric eigenvalue problem. Additionally, diagonal and band