Stability of Linear GMRES Convergence with Respect to Compact Perturbations

DOI10.1137/20M1340848zbMath1467.65025arXiv2005.12960MaRDI QIDQ5857852

Jan Blechta

Publication date: 8 April 2021

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12960

zbMATH Keywords

GMRESlinear convergencecompact perturbation

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (2)

GMRES algorithms over 35 years ⋮ Bi-parametric operator preconditioning

Uses Software

• Eigtool

Cites Work

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• An eigenvalue estimate and its application to non-selfadjoint Jacobi and Schrödinger operators
• Field-of-values analysis of preconditioned iterative methods for nonsymmetric elliptic problems
• Robust bounds for Krylov methods
• Minimal decompositions and iterative methods
• Meromorphic functions and linear algebra
• Über den numerischen Wertebereich eines Operators
• A minimax inequality for operators and a related numerical range
• Convergence of Krylov methods for sums of two operators
• Finite Elements and Fast Iterative Solvers
• Geometric aspects of the theory of Krylov subspace methods
• Max-Min Properties of Matrix Factor Norms
• GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems
• A Robust GMRES-Based Adaptive Polynomial Preconditioning Algorithm for Nonsymmetric Linear Systems
• A Note on the Superlinear Convergence of GMRES
• Any Nonincreasing Convergence Curve is Possible for GMRES
• Some Remarks on the Elman Estimate for GMRES
• Shorter Notes: The Toeplitz-Hausdorff Theorem for Linear Operators

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