On the block GMRES method with deflated restarting

DOI10.1016/j.amc.2011.07.031zbMath1298.65060OpenAlexW2036350590MaRDI QIDQ654694

Liang Bao, Wenbo Li, Qinghua Wu, Yi-Qin Lin

Publication date: 29 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.07.031

zbMATH Keywords

linear systemaccuracyiteration methoddeflationblock GMRESmultiple right-hand sides

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Uses Software

• Matlab
• Harwell-Boeing sparse matrix collection

Cites Work

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• Restarted block-GMRES with deflation of eigenvalues
• A block QMR algorithm for non-Hermitian linear systems with multiple right-hand sides
• Computing interior eigenvalues of large matrices
• Augmented block Householder Arnoldi method
• The block conjugate gradient algorithm and related methods
• Quasi-kernel polynomials and their use in non-Hermitian matrix iterations
• A block version of BiCGSTAB for linear systems with multiple right-hand sides
• A block GMRES method augmented with eigenvectors
• Convergence properties of block GMRES and matrix polynomials
• Implicitly restarted global FOM and GMRES for nonsymmetric matrix equations and Sylvester equations
• Improving the Accuracy of GMRes with Deflated Restarting
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Sparse matrix test problems
• Implementation Aspects of Band Lanczos Algorithms for Computation of Eigenvalues of Large Sparse Symmetric Matrices
• GMRES with Deflated Restarting
• An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides
• Approximate solutions and eigenvalue bounds from Krylov subspaces
• Harmonic projection methods for large non-symmetric eigenvalue problems

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