Convergence of parallel multisplitting methods using ILU factorizations

Authors:
Jae Heon Yun;SeYoung Oh;Eun Heui Kim
Affiliations:
Department of Mathematics, College of Natural Sciences, Chungbuk National University, Cheongju 361-763, Korea;Department of Mathematics, Chungnam National University, Daejeon 305-764, Korea;Department of Mathematics, College of Natural Sciences, Chungbuk National University, Cheongju 361-763, Korea
Venue:
The Korean Journal of Computational & Applied Mathematics
Year:
2004

Citing 4
Cited 0

Multisplitting of a symmetric positive definite matrix

SIAM Journal on Matrix Analysis and Applications
Two-stage and multisplitting methods for the parallel solution of linear systems

SIAM Journal on Matrix Analysis and Applications
On the stability of the incomplete LU-factorizations and characterizations of H-matrices

Numerische Mathematik
Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems

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Abstract

In this paper, we study the convergence of both relaxed multisplitting method and nonstationary two-stage multisplitting method associated with a multisplitting which is obtained from the ILU factorizations for solving a linear system whose coefficient matrix is an H-matrix. Also, parallel performance results of nonstaionary two-stage multisplitting method using ILU factorizations as inner splittings on the IBM p690 supercomputer are provided to analyze theoretical results.