Analysis of peaks and plateaus in a Galerkin/minimal residual pair of methods for solving \(Ax=b\)

DOI10.1016/S0096-3003(02)00419-8zbMath1027.65042OpenAlexW2075005064MaRDI QIDQ1405073

Jinxi Zhao, Yuming Shen

Publication date: 25 August 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00419-8

zbMATH Keywords

convergenceGalerkin methodsplateausirregular peaksnorm minimizing methods

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Cites Work

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• QMR: A quasi-minimal residual method for non-Hermitian linear systems
• Expressions and bounds for the GMRES residual
• Peaks, plateaus, numerical instabilities in a Galerkin minimal residual pair of methods for solving \(Ax=b\)
• Which Eigenvalues Are Found by the Lanczos Method?
• Geometric aspects of the theory of Krylov subspace methods
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Solution of Sparse Indefinite Systems of Linear Equations
• From Potential Theory to Matrix Iterations in Six Steps
• Relations between Galerkin and Norm-Minimizing Iterative Methods for Solving Linear Systems

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