Successive over relaxation iterative method for fuzzy system of linear equations. (English) Zbl 1062.65037

The author attempts to solve a linear system \(Ax = b\), where \(A\) is a real square matrix and \(b\) is a vector consisting of fuzzy entries. A successive overrelaxation method is proposed and some convergence results are given. Moreover, a simple \(4\times 4\) example is provided to illustrate numerical results.


65F10 Iterative numerical methods for linear systems
08A72 Fuzzy algebraic structures
Full Text: DOI


[1] Friedman, M.; Ming, M.; Kandel, A., Fuzzy linear systems, FSS, 96, 201-209 (1998) · Zbl 0929.15004
[3] Ortega, J. M., Numerical Analysis: A Second Course (1990), SIAM · Zbl 0701.65002
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