An application of the modified Leverrier-Faddeev algorithm to the spectral decomposition of symmetric block-circulant matrices

DOI10.1016/j.csda.2004.07.009zbMath1429.65083OpenAlexW2031401408MaRDI QIDQ959138

John C. Gower

Publication date: 11 December 2008

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2004.07.009

zbMATH Keywords

singular value decompositionspectral decompositionalgebraic algorithmsblock-circulantsLeverrier-Faddeev

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Factor analysis and principal components; correspondence analysis (62H25) Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (3)

Advances in Differential Equations and Control Processes Volume 22, Issue 1, Pages 23 - 38 (February 2020) http://dx.doi.org/10.17654/DE022010023 SOLUTION OF SPRING-MASS SYSTEM BY USING FADDEEV-LEVERRIER METHOD TOGETHER WITH LAPLACE TRANSFORM ⋮ Skew symmetry in retrospect ⋮ 2nd special issue on matrix computations and statistics

Cites Work

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• A modified Leverrier-Faddeev algorithm for matrices with multiple eigenvalues
• Orthogonality and its approximation in the analysis of asymmetry
• A comparison of the multidimensional scaling of triadic and dyadic distances
• Singular value decomposition of matched matrices

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