A method for separating nearly multiple eigenvalues for Hermitian matrix

DOI10.1016/j.cam.2005.08.040zbMath1112.65032OpenAlexW1995356329MaRDI QIDQ861925

Kenji Toyonaga

Publication date: 2 February 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.08.040

zbMATH Keywords

algorithmnumerical examplessymmetric matrixmultiple eigenvalueverified computationeigenvalue enclosureWilkinson matrix

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Algorithms with automatic result verification (65G20)

Uses Software

• INTLAB

Cites Work

• Computational error bounds for multiple or nearly multiple eigenvalues
• A simple method for error bounds of eigenvalues of symmetric matrices
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