Discrete krylov subspace methods for equations of the second kind

DOI10.1080/00207169808804728zbMath0935.65056OpenAlexW2057671088MaRDI QIDQ4256136

Igor Moret

Publication date: 28 June 1999

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169808804728

zbMATH Keywords

convergencepreconditioningHilbert spacesKrylov subspace methodscompact linear operatorfull orthogonalization methodgeneralized minimal residual algorithm

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (1)

Discrete QMR and BCG in the numerical solution of linear systems of ODEs

Cites Work

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• On acceleration methods for coupled nonlinear elliptic systems
• On the fast convergence of a Galerkin-like method for equations of the second kind
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• Convergence estimates for solution of integral equations with GMRES
• Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• The Local Convergence of Broyden-Like Methods on Lipschitzian Problems in Hilbert Spaces
• Iterative refinement of the method of moments
• Some Superlinear Convergence Results for the Conjugate Gradient Method
• The conjugate gradient method for solving fredholm integral equations of the second kind
• A Note on the Superlinear Convergence of GMRES
• An Iterative Variant of the Degenerate Kernel Method for Solving Fredholm Integral Equations
• GMRES and Integral Operators
• SPECTRAL OPERATORS IN A DIRECT SUM OF HILBERT SPACES
• A Theoretical Comparison of the Arnoldi and GMRES Algorithms

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