Davidson method for eigenpairs and their partial derivatives of generalized eigenvalue problems

DOI10.1002/cnm.811zbMath1090.65045OpenAlexW2005189460MaRDI QIDQ5467020

Hua Dai, Hui-Qing Xie

Publication date: 23 May 2006

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.811

zbMATH Keywords

sensitivitynumerical resultsDavidson methodgeneralized eigenvalue problemseigenpair partial derivatives

Mathematics Subject Classification ID

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

Related Items (4)

Eigensensitivity of damped system with distinct and repeated eigenvalues by chain rule ⋮ Eigensensitivity analysis of damped systems with distinct and repeated eigenvalues ⋮ Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems ⋮ Derivatives of complex eigenvectors with distinct and repeated eigenvalues

Cites Work

• Davidson's method and preconditioning for generalized eigenvalue problems
• Numerical Methods for Large Eigenvalue Problems
• Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
• NUMERICAL METHOD FOR SENSITIVITY ANALYSIS OF EIGENSYSTEMS WITH NON-REPEATED AND REPEATED EIGENVALUES
• Davidson's algorithm with and without perturbation corrections
• A subspace iteration for eigenvector derivatives
• Matrix transformation method for updating dynamic model
• Simplified calculation of eigenvector derivatives
• The Davidson Method
• New family of modal methods for calculating eigenvector derivatives
• Iterative method for calculating derivatives of eigenvectors
• Highly accurate modal method for calculating eigenvector derivatives in viscous damping systems
• Rates of change of eigenvalues and eigenvectors.

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