Evaluation of the performance of inexact GMRES

DOI10.1016/j.cam.2010.09.022zbMath1209.65040OpenAlexW2087555412MaRDI QIDQ629433

Nathan Winkles, Roger B. Sidje

Publication date: 9 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.09.022

zbMATH Keywords

algorithmnumerical experimentssparse matrixiterative solvergeneralized minimal residual (GMRES) methodnonsymmetric linear systeminexact GMRESrelaxed matrix vector-product

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (4)

GMRES algorithms over 35 years ⋮ Analysis of inexact Krylov subspace methods for approximating the matrix exponential ⋮ Inexact uniformization and GMRES methods for large Markov chains ⋮ Inexact rational Krylov method for evolution equations

Uses Software

• SparseMatrix

Cites Work

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• Inexact GMRES for singular linear systems
• The university of Florida sparse matrix collection
• Inexact Uniformization Method for Computing Transient Distributions of Markov Chains
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
• Inexact Krylov Subspace Methods for Linear Systems
• Inexact Matrix-Vector Products in Krylov Methods for Solving Linear Systems: A Relaxation Strategy
• Convergence in Backward Error of Relaxed GMRES

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