Spectral deflation in Krylov solvers: a theory of coordinate space based methods

zbMath1285.65021MaRDI QIDQ2447375

Martin H. Gutknecht

Publication date: 25 April 2014

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/ETNA/vol.39.2012/pp156-185.dir/pp156-185.html

zbMATH Keywords

GMRESdeflationlinear equationsKrylov subspace methodMINRESQMRKrylov space methodCG(singular) preconditioningaugmented basisBICGrecycling Krylov subspaces

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Iterative numerical methods for linear systems (65F10)

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Absorption kinetics of vacancies by cavities in aluminum: numerical characterization of sink strengths and first-passage statistics through Krylov subspace projection and eigenvalue deflation ⋮ Polynomial Preconditioned GMRES and GMRES-DR ⋮ A note on augmented unprojected Krylov subspace methods ⋮ Deflated and augmented global Krylov subspace methods for the matrix equations ⋮ Augmented and deflated CMRH method for solving nonsymmetric linear systems ⋮ A new preconditioner update strategy for the solution of sequences of linear systems in structural mechanics: application to saddle point problems in elasticity ⋮ Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems ⋮ GMRES algorithms over 35 years ⋮ Weighted Inner Products for GMRES and GMRES-DR ⋮ Projections, Deflation, and Multigrid for Nonsymmetric Matrices

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