Parallel Interval Matrix Multisplitting AOR Methods and Their Convergence
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Abstract: This paper proposes a class of parallel interval matrix multisplitting AOR methods for solving systems of interval linear equations and discusses their convergence properties under the conditions that the coefficient matrices are interval H_matrices.
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Key words:
- parallel method /
- interval matrix multisplitting /
- relaxation /
- convergence
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[1] Frommer A, Mayer G. Paralled interval multisplitting[J]. Numer Math,1989,56:255~267 [2] Wang D. On the convergence of the parallel multisplitting AOR algorithm[J]. Linear Algebra Appl,1991,154/156:473~486 [3] Neumaier A. New techniques for the analysis of linear interval equations[J].Linear Algebra Appl,1984,58:273~325 [4] Alefeld G, Herzberger J. Introduction to Interval Equations[M]. New York: Academic Press, 1983 [5] Zhou R. The convergence of interval AOR method[J].Math Numer Sinica,1992,14(1):49~52 [6] Varga R S. Matrix Iterative Analysis[M].Englewood Cliffs, N J:Prentice-Hall, INC,1962
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