Orthogonal projection method for eigenpair derivatives of large symmetric matrices

DOI10.1080/00207160.2013.776676zbMath1305.65120OpenAlexW2121373066MaRDI QIDQ2874316

Yaping Hu, Hui-Qing Xie

Publication date: 29 January 2014

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

Full work available at URL: https://doi.org/10.1080/00207160.2013.776676

zbMATH Keywords

eigenvector derivativeorthogonal projection methodeigenvalue derivative

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18)

Cites Work

• Unnamed Item
• Computation of eigenpair partial derivatives by Rayleigh-Ritz procedure
• New methods for calculations of the lowest eigenvalues of the real symmetric generalized eigenvalue problem
• Composite orthogonal projection methods for large matrix eigenproblems
• An analysis of the Rayleigh--Ritz method for approximating eigenspaces
• IRAM-based method for eigenpairs and their derivatives of large matrix-valued functions
• Computing Derivatives of Eigenvalues and Elgenvectors by Simultaneous Iteration
• Iterative Computation of Derivatives of Eigenvalues and Eigenvectors
• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Simplified calculation of eigenvector derivatives
• Templates for the Solution of Algebraic Eigenvalue Problems
• Rates of change of eigenvalues and eigenvectors.
• Perturbation theory for pseudo-inverses

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