Circulant-block preconditioners for solving ordinary differential equations.

DOI10.1016/S0096-3003(02)00237-0zbMath1044.65062MaRDI QIDQ1406264

Xiao-qing Jin, Li-li Song, Vai-Kuong Sin

Publication date: 9 September 2003

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

zbMATH Keywords

convergencenumerical experimentssparse linear systemsgeneralized minimal residual methodboundary value methodlinear initial value problemscirculant-block preconditionerEMRES method

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

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• Strang-type preconditioners for systems of LMF-based ODE codes
• BCCB preconditioners for systems of BVM‐based numerical integrators
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• A Family of Block Preconditioners for Block Systems
• A Circulant Preconditioner for the Systems of LMF-Based ODE Codes
• Conjugate Gradient Methods for Toeplitz Systems

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