IRAM-based method for eigenpairs and their derivatives of large matrix-valued functions

DOI10.1002/nla.740zbMath1245.65046OpenAlexW2017356953MaRDI QIDQ2889399

Hui-Qing Xie

Publication date: 7 June 2012

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.740

zbMATH Keywords

numerical experimentsArnoldi methodmatrix-valued functioneigenvector derivativelarge matrixeigenvalue derivative

Mathematics Subject Classification ID

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

Related Items (2)

Calculation of eigenpair derivatives for symmetric quadratic eigenvalue problem with repeated eigenvalues ⋮ Orthogonal projection method for eigenpair derivatives of large symmetric matrices

Uses Software

• eigs
• IRAM

Cites Work

• Unnamed Item
• Multiple eigenvalue sensitivity analysis
• Matrix Algorithms
• Implicitly Restarted Arnoldi Methods and Subspace Iteration
• Derivatives of Eigenvalues and Eigenvectors of Matrix Functions
• Direct computation of derivatives of eigenvalues and eigenvectors
• Derivatives of eigenvalues and eigenvectors of a general complex matrix
• Computing Derivatives of Eigenvalues and Elgenvectors by Simultaneous Iteration
• 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
• 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.

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