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Persistent URL http://purl.org/net/epubs/work/29621
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Record Id 29621
Title Constraint Preconditioning for Indefinite Linear Systems
Abstract The problem of finding good preconditioners for the numerical solution of indefinite linear systems is considered. Special emphasis is put on preconditioners that have a 2 x 2 block structure and which incorporate the (1, 2) and (2, 1) blocks of the original matrix. Results concerning the spectrum and form of the eigenvectors of the preconditioned matrix and its minimum polynomial are given. The consequences of these results are considered for a variety of Krylov subspace methods. Numerical experiments validate these conclusions.
Organisation CCLRC
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Language English (EN)
Type Details URI(s) Local file(s) Year
Report RAL Technical Reports RAL-TR-1999-016. 1999. raltr-1999016.pdf 1999