A practical algorithm for the efficient computation of eigenvector sensitivities

DOI10.1016/0045-7825(95)00929-9zbMath0862.73067OpenAlexW2076847604MaRDI QIDQ2564567

Z. Wang, R. M. Lin, Mong King Lim

Publication date: 26 May 1997

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

Full work available at URL: https://doi.org/10.1016/0045-7825(95)00929-9

zbMATH Keywords

generalized symmetric eigenvalue problemsinverse iteration techniquesingular value decomposition theory

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (2)

Review of options for structural design sensitivity analysis. I: Linear systems ⋮ Optimal design of piezoelectric modal transducers

Cites Work

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• On eigenvalues of matrices dependent on a parameter
• Re-examination of eigenvector derivatives
• Reanalysis procedure for large structural systems
• Simplified calculation of eigenvector derivatives
• Calculation of Eigenvalue and Eigenvector Derivatives for Algebraic Flutter and Divergence Eigenproblems
• Rates of change of eigenvalues and eigenvectors.
• On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$
• IMPROVEMENT OF AN APPROXIMATE SET OF LATENT ROOTS AND MODAL COLUMNS OF A MATRIX BY METHODS AKIN TO THOSE OF CLASSICAL PERTURBATION THEORY

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