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 Circulant preconditioners for solving singular perturbation delay differential equations Jin X.-Q.1; Lei S.-L.1; Wei Y.-M.2 2005-03-01 Source Publication Numerical Linear Algebra with Applications ISSN 10705325 Volume 12Issue:2-3Pages:327-336 Abstract We consider the solution of singular perturbation delay differential equations (SPDDEs) by using boundary value methods (BVMs). These methods require the solution of some nonsymmetric, large and sparse linear systems. The GMRES method with the Strang-type block-circulant preconditioner is proposed for solving these linear systems. We prove that if an A-stable BVM is used for solving a system of SPDDEs, then our preconditioner is invertible and the eigenvalues of the preconditioned system are clustered. When the GMRES method is applied to the preconditioned systems, the method would converge fast. Numerical results are given to show the effectiveness of our methods. Keyword Block-circulant Preconditioner Bvm Gmres Method Spddes DOI https://doi.org/10.1002/nla.420 URL View the original Indexed By SCIE Language 英語English WOS Research Area Mathematics WOS Subject Mathematics, Applied ; Mathematics WOS ID WOS:000228112200026 Publisher WILEY, 111 RIVER ST Fulltext Access Citation statistics Cited Times [WOS]:6   [WOS Record]     [Related Records in WOS] Document Type Journal article Collection DEPARTMENT OF MATHEMATICS Affiliation 1.Department of Mathematics, University of Macau, Macau, China2.Department of Mathematics, Fudan University, Shanghai, 200433, China First Author Affilication University of Macau Recommended CitationGB/T 7714 Jin X.-Q.,Lei S.-L.,Wei Y.-M.. Circulant preconditioners for solving singular perturbation delay differential equations[J]. Numerical Linear Algebra with Applications,2005,12(2-3):327-336. APA Jin X.-Q.,Lei S.-L.,&Wei Y.-M..(2005).Circulant preconditioners for solving singular perturbation delay differential equations.Numerical Linear Algebra with Applications,12(2-3),327-336. MLA Jin X.-Q.,et al."Circulant preconditioners for solving singular perturbation delay differential equations".Numerical Linear Algebra with Applications 12.2-3(2005):327-336.
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