Computing eigenpairs of Hermitian matrices in perfect Krylov subspaces

DOI10.1007/s11075-018-00653-yzbMath1434.65031OpenAlexW2913419705WikidataQ128529491 ScholiaQ128529491MaRDI QIDQ2009054

Cun-Qiang Miao, Zhong Zhi Bai

Publication date: 27 November 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-018-00653-y

zbMATH Keywords

Krylov subspace methodinexact iterationconvergence propertyHermitian eigenproblem

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)

Related Items (3)

An extended shift-invert residual Arnoldi method ⋮ The power method and beyond ⋮ On relaxed filtered Krylov subspace method for non-symmetric eigenvalue problems

Uses Software

• EIGIFP
• JDQZ

Cites Work

• On local quadratic convergence of inexact simplified Jacobi-Davidson method
• Recursion relations for the extended Krylov subspace method
• Rational Krylov sequence methods for eigenvalue computation
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• On local quadratic convergence of inexact simplified Jacobi-Davidson method for interior eigenpairs of Hermitian eigenproblems
• Inexact inverse iteration for symmetric matrices
• Numerical Methods for Large Eigenvalue Problems
• A new investigation of the extended Krylov subspace method for matrix function evaluations
• A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems
• On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods
• Extended Krylov Subspaces: Approximation of the Matrix Square Root and Related Functions
• Rational Krylov: A Practical Algorithm for Large Sparse Nonsymmetric Matrix Pencils
• Preconditioning the Lanczos Algorithm for Sparse Symmetric Eigenvalue Problems
• An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems
• A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
• Iterative Solution of Nonlinear Equations in Several Variables
• Bunch–Kaufman Factorization for Real Symmetric Indefinite Banded Matrices
• Krylov Subspace Methods for Large-Scale Constrained Sylvester Equations
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