An extended shift-invert residual Arnoldi method

DOI10.1007/s40314-021-01444-3zbMath1476.65056OpenAlexW3134028852MaRDI QIDQ1983898

Yanyan Li

Publication date: 10 September 2021

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

Full work available at URL: https://doi.org/10.1007/s40314-021-01444-3

zbMATH Keywords

eigenvalueiterative methodssymmetric matricesperfect Krylov subspace

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Iterative numerical methods for linear systems (65F10) Orthogonalization in numerical linear algebra (65F25)

Uses Software

• JDQZ
• KONECT

Cites Work

• Inner iterations in the shift-invert residual Arnoldi method and the Jacobi-Davidson method
• On local quadratic convergence of inexact simplified Jacobi-Davidson method
• Rational Krylov sequence methods for eigenvalue computation
• A survey of preconditioned iterative methods for linear systems of algebraic equations
• iSIRA: integrated shift-invert residual Arnoldi method for graph Laplacian matrices from big data
• Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces
• On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems
• Matrix Algorithms
• Implicitly restarted Arnoldi with purification for the shift-invert transformation
• Generalizations of Davidson’s Method for Computing Eigenvalues of Sparse Symmetric Matrices
• On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods
• A Shifted Block Lanczos Algorithm for Solving Sparse Symmetric Generalized Eigenproblems
• A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems
• Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
• Unnamed Item
• Unnamed Item

This page was built for publication: An extended shift-invert residual Arnoldi method