On convergence of the inexact Rayleigh quotient iteration with MINRES

DOI10.1016/j.cam.2012.05.016zbMath1254.65048arXiv0906.2238OpenAlexW1966082499MaRDI QIDQ442709

Zhongxiao Jia

Publication date: 3 August 2012

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

Full work available at URL: https://arxiv.org/abs/0906.2238

zbMATH Keywords

convergenceinexact RQIinner iteration

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10)

Related Items (5)

Convergence proof of the harmonic Ritz pairs of iterative projection methods with restart strategies for symmetric eigenvalue problems ⋮ Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration ⋮ On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems ⋮ On convergence of iterative projection methods for symmetric eigenvalue problems ⋮ A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible \(M\)-matrix

Uses Software

• JDCG

Cites Work

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• Convergence of inexact inverse iteration with application to preconditioned iterative solvers
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• Inexact Rayleigh quotient-type methods for eigenvalue computations
• On convergence of the inexact Rayleigh quotient iteration with the Lanczos method used for solving linear systems
• Inexact inverse iteration for symmetric matrices
• Matrix Algorithms
• Efficient Preconditioned Inner Solves For Inexact Rayleigh Quotient Iteration And Their Connections To The Single-Vector Jacobi–Davidson Method
• A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems
• Convergence Analysis of Iterative Solvers in Inexact Rayleigh Quotient Iteration
• Convergence Analysis of Inexact Rayleigh Quotient Iteration
• Approximate solutions and eigenvalue bounds from Krylov subspaces
• The convergence of Jacobi–Davidson iterations for Hermitian eigenproblems
• Inexact Inverse Iteration with Variable Shift for Nonsymmetric Generalized Eigenvalue Problems

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