A note on T. Chan's preconditioner.

DOI10.1016/j.laa.2003.07.005zbMath1049.65035OpenAlexW2080232517MaRDI QIDQ1415304

Ming-Chao Cai, Xiao-qing Jin

Publication date: 3 December 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.07.005

zbMATH Keywords

boundary value methodstable matrixStrang's preconditionerT. Chan's preconditioner

Mathematics Subject Classification ID

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

Related Items (5)

A survey and some extensions of T. Chan's preconditioner ⋮ Some stability properties of T. Chan's preconditioner ⋮ Block preconditioners with circulant blocks for general linear systems ⋮ A modified T. Chan's preconditioner for Toeplitz systems ⋮ BCCB preconditioners for solving linear systems from delay differential equations

Cites Work

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• The circulant operator in the Banach algebra of matrices
• Strang-type preconditioners for systems of LMF-based ODE codes
• BCCB preconditioners for systems of BVM‐based numerical integrators
• An Optimal Circulant Preconditioner for Toeplitz Systems
• Optimal and Superoptimal Circulant Preconditioners
• Circulant and Skewcirculant Matrices for Solving Toeplitz Matrix Problems
• A Stability Property of T. Chan's Preconditioner
• Conjugate Gradient Methods for Toeplitz Systems

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