Spectral refinement for clustered eigenvalues of quasi-diagonal matrices

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Ahues, M (Author) Other; Filomena Dias d Almeida (Author) FEUP; Largillier, A (Author) Other; vasconcelos, pb (Author) FEP

Journal

Title: Linear Algebra and Its Applications

Vol. 413

Pages: 394-402

ISSN: 0024-3795

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 2 Citations

ISI Web of Science

Scopus - 2 Citations

INSPEC

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Physical sciences > Mathematics

Other information

Authenticus ID: P-004-N2R

DOI: 10.1016/j.laa.2005.03.004

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9