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Spectral refinement for clustered eigenvalues of quasi-diagonal matrices

✍ Scribed by Mario Ahues; Filomena Dias d’Almeida; Alain Largillier; Paulo B. Vasconcelos

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
139 KB
Volume
413
Category
Article
ISSN
0024-3795

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✦ Synopsis

We extend to a general situation the method for the numerical computation of eigenvalues and eigenvectors of a quasi-diagonal matrix, which is based on a perturbed fixed slope Newton iteration, and whose convergence was proved by the authors in a previous paper, under the hypothesis that the diagonal entries of the matrix are well separated. A generalization to the case of a cluster of diagonal entries is addressed now. Numerical experiments are performed both in the case of an academic example, and in the applied one of a polymer model.

📜 SIMILAR VOLUMES

Thin structure of eigenvalue clusters fo
Thin structure of eigenvalue clusters for non-Hermitian Toeplitz matrices
✍ E.E. Tyrtyshnikov; N.L. Zamarashkin 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 230 KB

In contrast to the Hermitian case, the ``unfair behavior'' of non-Hermitian Toeplitz eigenvalues is still to be unravelled. We propose a general technique for this, which reveals the eigenvalue clusters for symbols from v I . Moreover, we study a thin structure of those clusters in the terms of prop