A robust algorithm for finding the eigenvalues and eigenvectors of \(3 \times 3\) symmetric matrices

DOI10.1016/j.cma.2008.03.031zbMath1197.65037OpenAlexW1986159991MaRDI QIDQ2637898

Clark R. Dohrmann, W. Scherzinger

Publication date: 13 September 2010

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2008.03.031

zbMATH Keywords

numerical resultseigenvalueseigenvectorssymmetric matricesrobust algorithmprincipal coordinates

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

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Cites Work

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• An algorithm to compute the square root of a 3\(\times 3\) positive definite matrix
• Computational inelasticity
• Stable iterations for the matrix square root
• Aspects of Invariance in Solid Mechanics
• Incremental kinematics for finite element applications
• Harmonic Dispersion Analysis of Incremental Waves in Uniaxially Prestressed Plastic and Viscoplastic Bars, Plates, and Unbounded Media

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