Construction of preconditioners for Wiener-Hopf equations by operator splitting

DOI10.1016/0096-3003(94)00178-7zbMath0834.65132OpenAlexW1988008883MaRDI QIDQ1899343

Fu-Rong Lin, Raymond Honfu Chan, Michael Kwok-Po Ng

Publication date: 31 March 1996

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)00178-7

zbMATH Keywords

numerical resultsoperator splittingDirichlet kernelpreconditionerspreconditioned conjugate gradient algorithmadditive Schwarz methodfinite section Wiener-Hopf integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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Norm estimates of \(\omega\)-circulant operator matrices and isomorphic operators for \(\omega\)-circulant algebra ⋮ On computing of positive integer powers for \(r\)-circulant matrices

Cites Work

• Toeplitz preconditioners for Hermitian Toeplitz systems
• Circulant integral operators as preconditioners for Wiener-Hopf equations
• A Proposal for Toeplitz Matrix Calculations
• Fast Preconditioned Conjugate Gradient Algorithms for Wiener–Hopf Integral Equations
• On the Eigenvalues of a Class of Integral Equations Arising in Laser Theory
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