Calculation of derivatives of multiple eigenpairs of unsymmetrical quadratic eigenvalue problems

DOI10.1080/00207160701581525zbMath1158.65026OpenAlexW2090072003MaRDI QIDQ3545673

Hua Dai, Hui-Qing Xie

Publication date: 11 December 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701581525

zbMATH Keywords

algorithmsensitivity analysisnumerical examplescomputational efficiencyquadratic eigenvalue problemseigenvalue derivativeseigenvector derivativesmultiple eigenvalueseigenpair derivatives

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (6)

Calculation of eigenpair derivatives for symmetric quadratic eigenvalue problem with repeated eigenvalues ⋮ Analyticity of Semisimple Eigenvalues and Corresponding Eigenvectors of Matrix-Valued Functions ⋮ Calculation of eigenpair derivatives for asymmetric damped systems with distinct and repeated eigenvalues ⋮ An incomplete modal method for eigenvector derivatives of polynomial eigenvalue problems ⋮ An iterative method for simultaneously computing the derivatives of simple and multiple eigenpairs of a quadratic eigenvalue problem ⋮ Eigensensitivity of symmetric damped systems with repeated eigenvalues by generalized inverse

Cites Work

• The Quadratic Eigenvalue Problem
• Eigenderivative analysis of asymmetric non‐conservative systems
• Calculation of eigenvector derivatives for structures with repeated eigenvalues
• Matrix transformation method for updating dynamic model
• Modal sensitivities for repeated eigenvalues and eigenvalue derivatives
• Simplified calculation of eigenvector derivatives
• Efficient computation of modal sensitivities for systems with repeated frequencies
• Highly accurate modal method for calculating eigenvector derivatives in viscous damping systems
• Rates of change of eigenvalues and eigenvectors.

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