Convergence of parallel multisplitting methods using ILU factorizations.

DOI10.1007/BF02935747zbMath1058.65044OpenAlexW2007263883WikidataQ114233723 ScholiaQ114233723MaRDI QIDQ1880469

Jae Heon Yun, Eun Heui Kim, Se-Young Oh

Publication date: 28 September 2004

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

Full work available at URL: https://doi.org/10.1007/bf02935747

zbMATH Keywords

convergencelinear systemsnumerical experimentsparallel computationmultisplitting methods\(H\)-matrixiterative solutionILU factorization

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

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A model-order reduction method based on Krylov subspaces for MIMO bilinear dynamical systems ⋮ Nonlinear Uzawa methods for solving nonsymmetric saddle point problems

Cites Work

• Convergence of parallel multisplitting iterative methods for M-matrices
• Comparisons of weak regular splittings and multisplitting methods
• Convergence of relaxed parallel multisplitting methods
• \(H\)-splittings and two-stage iterative methods
• On the stability of the incomplete LU-factorizations and characterizations of \(H\)-matrices
• Performance of ILU factorization preconditioners based on multisplittings
• Block ILU factorization preconditioners for a block-tridiagonal \(H\)-matrix
• Parallel, synchronous and asynchronous two-stage multisplitting methods
• Multisplitting of a Symmetric Positive Definite Matrix
• Multi-Splittings of Matrices and Parallel Solution of Linear Systems
• Two-Stage and Multisplitting Methods for the Parallel Solution of Linear Systems
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
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