The spectral analysis of the matrix multisplitting method for the one-dimensional model problem

DOI10.1016/S0898-1221(98)00114-XzbMath0934.65036OpenAlexW1996848523MaRDI QIDQ1806448

Daniel B. Szyld, Jiachang Sun, Zhong Zhi Bai

Publication date: 9 February 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(98)00114-x

zbMATH Keywords

convergenceparallel computationPoisson equationlarge sparse systemmatrix multisplitting methodmultiple splittings

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• Convergence of parallel multisplitting iterative methods for M-matrices
• A unified framework for the construction of various matrix multisplitting iterative methods for large sparse system of linear equations
• Convergence of relaxed parallel multisplitting methods
• On the theory and practice of multisplitting methods in parallel computation
• Multi-Splittings of Matrices and Parallel Solution of Linear Systems
• Matrix multi-splitting multi-parameter relaxation methods
• Accelerated Overrelaxation Method

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