Simpler GMRES with deflated restarting

DOI10.1016/j.matcom.2012.05.019zbMath1253.65044OpenAlexW2051075445MaRDI QIDQ1761667

Liang Bao, Qinghua Wu, Yi-Qin Lin

Publication date: 15 November 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2012.05.019

zbMATH Keywords

linear systemeigenvectorGMRESrestartingharmonic Ritz vectorsimpler GMRES

Mathematics Subject Classification ID

Related Items (7)

A simpler GMRES algorithm accelerated by Chebyshev polynomials for computing PageRank ⋮ Augmented and deflated CMRH method for solving nonsymmetric linear systems ⋮ A flexible and adaptive simpler GMRES with deflated restarting for shifted linear systems ⋮ A flexible and adaptive simpler block GMRES with deflated restarting for linear systems with multiple right-hand sides ⋮ Restarted simpler GMRES augmented with harmonic Ritz vectors and approximate errors ⋮ Some iterative approaches for Sylvester tensor equations. I: A tensor format of truncated loose simpler GMRES ⋮ A simpler GMRES and its adaptive variant for shifted linear systems

Uses Software

• Harwell-Boeing sparse matrix collection

Cites Work

• How to Make Simpler GMRES and GCR More Stable
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Sparse matrix test problems
• Implicitly Restarted GMRES and Arnoldi Methods for Nonsymmetric Systems of Equations
• Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
• GMRES with Deflated Restarting
• A Restarted GMRES Method Augmented with Eigenvectors
• A simpler GMRES
• Harmonic projection methods for large non-symmetric eigenvalue problems
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