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.
Similar content being viewed by others
References
Frommer A, Mayer G. Parallel interval multisplitting[J].Numer Math, 1989,56:255–267
Wang D. On the convergence of the parallel multisplitting AOR algorithm[J].Linear Algebra Appl, 1991,154/156:473–486
Neumaier A. New techniques for the analysis of linear interval equations[J].Linear Algebra Appl, 1984,58:273–325
Alefeld G, Herzberger J.Introduction to Interval Equations[M]. New York: Academic Press, 1983
Zhou R. The convergence of interval AOR method[J].Math Numer Sinica, 1992,14(1): 49–52
Varga R S.Matrix Iterative Analysis[M]. Englewood Cliffs, N J: Prentice-Hall, INC, 1962
Author information
Authors and Affiliations
Additional information
Communicated by Zhang Ruqing
Project supported by the National Natural Science Foundation of China (19601036)
Rights and permissions
About this article
Cite this article
Zhongzhi, B. Parallel interval matrix multisplitting AOR methods and their convergence. Appl Math Mech 20, 179–185 (1999). https://doi.org/10.1007/BF02481897
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02481897