Computation of eigenpair partial derivatives by Rayleigh-Ritz procedure

DOI10.1016/J.CAM.2011.12.010zbMath1242.65070OpenAlexW2015843152MaRDI QIDQ408193

Hui-Qing Xie

Publication date: 29 March 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.12.010

zbMATH Keywords

eigenvalueseigenvectorRayleigh-Ritz procedurepartial derivativematrix-valued functionparameterized matrix

Mathematics Subject Classification ID

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

Related Items (3)

A new inequality for the Hausdorff distance between spectra of two matrices ⋮ A refined bound for the spectral variations of matrices ⋮ Orthogonal projection method for eigenpair derivatives of large symmetric matrices

Cites Work

• Unnamed Item
• Multiple eigenvalue sensitivity analysis
• An optimal bound for the spectral variation of two matrices
• Large-scale complex eigenvalue problems
• An analysis of the Rayleigh--Ritz method for approximating eigenspaces
• Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
• Direct computation of derivatives of eigenvalues and eigenvectors
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Simplified calculation of eigenvector derivatives
• New family of modal methods for calculating eigenvector derivatives
• Convergence of Restarted Krylov Subspaces to Invariant Subspaces
• Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
• Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors
• Rates of change of eigenvalues and eigenvectors.

This page was built for publication: Computation of eigenpair partial derivatives by Rayleigh-Ritz procedure