Implicitly restarted and deflated GMRES

DOI10.1023/A:1019113630790zbMath0936.65035OpenAlexW2036735300MaRDI QIDQ1817793

Yanyan Li

Publication date: 3 May 2000

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019113630790

zbMATH Keywords

eigenvalueseigenvectorsGMRES methodArnoldi processKrylov basisdeflation methodfull orthogonal method algorithmgeneralized minimal residual solutionimplicitely restarted Arnoldi method

Mathematics Subject Classification ID

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

Related Items (11)

GMRES algorithms over 35 years ⋮ Deflated GMRES for systems with multiple shifts and multiple right-hand sides ⋮ Restarted weighted full orthogonalization method for shifted linear systems ⋮ GMRES with adaptively deflated restarting and its performance on an electromagnetic cavity problem ⋮ Restarted block-GMRES with deflation of eigenvalues ⋮ A matrix-free two-grid preconditioner for solving boundary integral equations in electromagnetism ⋮ The role eigenvalues play in forming GMRES residual norms with non-normal matrices ⋮ Restarted GMRES augmented with harmonic Ritz vectors for shifted linear systems ⋮ A family of physics-based preconditioners for solving elliptic equations on highly heterogeneous media ⋮ Restarted Gmres Augmented With Eigenvectors For Shifted Linear Systems * Supported by the National Natural Science Foundation of China and the Science and Technology Developing Foundation of University in Shanghai of China ⋮ Sparse approximate inverse preconditioning of deflated block-GMRES algorithm for the fast monostatic RCS calculation

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