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Splitting iterative methods for fuzzy system of linear equations

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A class of splitting iterative methods is considered for solving fuzzy system of linear equations, which cover Jacobi, Gauss–Seidel, SOR, SSOR, and their block variants proposed by others before. We give a convergence theorem for a regular splitting, where the corresponding iterative methods converge to the strong fuzzy solution for any initial vector and fuzzy right-hand vector. Two schemes of splitting are given to illustrate the theorem. Numerical experiments further show the efficiency of the splitting iterative methods.

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Authors and Affiliations

  1. Department of Mathematics, Tongji University, Shanghai, P.R. China

    Jun-Feng Yin

  2. Department of Mathematics, College of Sciences, Shanghai University, Shanghai, P.R. China

    Ke Wang

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  1. Jun-Feng Yin
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  2. Ke Wang
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Correspondence to Jun-Feng Yin.

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Yin, JF., Wang, K. Splitting iterative methods for fuzzy system of linear equations. Comput Math Model 20, 326–335 (2009). https://doi.org/10.1007/s10598-009-9039-9

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