A new method for eigenvector derivatives of a quadratic eigenvalue problem

DOI10.1007/S10543-017-0680-YzbMath1380.65074OpenAlexW2752552980MaRDI QIDQ1689315

Hui-Qing Xie

Publication date: 12 January 2018

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-017-0680-y

zbMATH Keywords

convergencenumerical examplesensitivity analysisconvergence accelerationiterative methodquadratic eigenvalue problemeigenvector derivativeincomplete modal method

Mathematics Subject Classification ID

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

Related Items (1)

An iterative method for simultaneously computing the derivatives of simple and multiple eigenpairs of a quadratic eigenvalue problem

Cites Work

• An iterative method for partial derivatives of eigenvectors of quadratic eigenvalue problems
• Design sensitivity analysis of structural systems
• Partial derivatives of the eigen-triplet of the quadratic eigenvalue problem depending on several parameters
• Eigenderivative analysis of asymmetric non‐conservative systems
• Computing Derivatives of Repeated Eigenvalues and Corresponding Eigenvectors of Quadratic Eigenvalue Problems
• Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
• Iterative Computation of Derivatives of Eigenvalues and Eigenvectors
• Model Updating In Structural Dynamics: A Survey
• Highly accurate modal method for calculating eigenvector derivatives in viscous damping systems

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