A note on weighted FOM and GMRES for solving nonsymmetric linear systems

DOI10.1016/S0096-3003(03)00373-4zbMath1053.65017OpenAlexW2095566544MaRDI QIDQ1827017

Xiaoyun Yu, Zhi-Hao Cao

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00373-4

zbMATH Keywords

numerical examplespreconditioningiterative methodsGMRESsparse matrixArnoldi methodKrylov subspacesnonsymmetric linear systemsfull orthogonal methodFOMweighted generalized minimal residual method

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

GMRES algorithms over 35 years, Weighted Inner Products for GMRES and GMRES-DR, Some observations on weighted GMRES, Thick restarting the weighted harmonic Arnoldi algorithm for large interior eigenproblems, Restarted weighted full orthogonalization method for shifted linear systems, Accelerate weighted GMRES by augmenting error approximations

Uses Software

• MatrixMarket

Cites Work

• Unnamed Item
• Weighted FOM and GMRES for solving nonsymmetric linear systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• A Theoretical Comparison of the Arnoldi and GMRES Algorithms