Convergence in Backward Error of Relaxed GMRES

DOI10.1137/040608416zbMath1142.65031OpenAlexW2056822501MaRDI QIDQ5453559

Julien Langou, Luc Giraud, Serge Gratton

Publication date: 3 April 2008

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040608416

zbMATH Keywords

convergencemultipole expansiongeneralized minimal residual (GMRES) methodbackwards error analysisrelaxed GMRES

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items

Mixed precision algorithms in numerical linear algebra ⋮ Backward error analysis of the shift-and-invert Arnoldi algorithm ⋮ The Adaptive $s$-Step Conjugate Gradient Method ⋮ A Note on Inexact Inner Products in GMRES ⋮ Evaluation of the performance of inexact GMRES ⋮ GMRES algorithms over 35 years ⋮ Analysis of inexact Krylov subspace methods for approximating the matrix exponential ⋮ On the robustness of numerical algorithms for linear systems and signal processing in finite precision arithmetic ⋮ A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems in unsteady convection-diffusion PDEs ⋮ Parallel algebraic hybrid solvers for large 3D convection-diffusion problems ⋮ Randomized Gram--Schmidt Process with Application to GMRES

Uses Software

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