Block-Toeplitz preconditioning for static and dynamic linear systems

DOI10.1016/S0024-3795(98)00007-XzbMath0938.65147OpenAlexW2055996043MaRDI QIDQ1307555

Zdzisław Jackiewicz, Bruno D. Welfert, Kevin Burrage

Publication date: 31 October 1999

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(98)00007-x

zbMATH Keywords

overlappingnumerical experimentspreconditioningiterative methodssplittingparallel computationsdynamic systemwaveform relaxation methodaccelerating of convergence

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Cites Work

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• Remarks on Picard-Lindelöf iteration
• Preconditioning waveform relaxation iterations for differential systems
• Convergence of Dynamic Iteration Methods for Initial Value Problems
• The Spectrum of a Family of Circulant Preconditioned Toeplitz Systems
• Estimating Waveform Relaxation Convergence
• A Family of Block Preconditioners for Block Systems
• The performance of preconditioned waveform relaxation techniques for pseudospectral methods

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