Acquired Clustering Properties and Solution of Certain Saddle Point Systems

DOI10.1137/100792652zbMath1213.65060OpenAlexW2022393370MaRDI QIDQ3079769

Valeria Simoncini, Maxim A. Olshanskii

Publication date: 2 March 2011

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2901ac67a4aa91ae922e92345de205a48e91db13

zbMATH Keywords

convergencenumerical experimentspreconditioningmultigridStokes problemeigenvalue estimatessaddle point problemnonlinear viscosityaugmented and deflated MINRESclustering and outliers

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Vector and tensor algebra, theory of invariants (15A72) Stokes and related (Oseen, etc.) flows (76D07) Iterative numerical methods for linear systems (65F10) Preconditioners for iterative methods (65F08)

Related Items (5)

Eigenvalue bounds of the shift-splitting preconditioned singular nonsymmetric saddle-point matrices ⋮ Reduced order solution of structured linear systems arising in certain PDE-constrained optimization problems ⋮ Deflation for the Off-Diagonal Block in Symmetric Saddle Point Systems ⋮ GMRES with adaptively deflated restarting and its performance on an electromagnetic cavity problem ⋮ Using partial spectral information for block diagonal preconditioning of saddle-point systems

Uses Software

• MINRES

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