Abbasbandy, S.; Ezzati, R.; Jafarian, A. \(LU\) decomposition method for solving fuzzy system of linear equations. (English) Zbl 1088.65023 Appl. Math. Comput. 172, No. 1, 633-643 (2006). Summary: The LU decomposition method is considered, for solving fuzzy systems of linear equations. We consider the method in the spatial case when the coefficient matrix is symmetric positive definite. The method is discussed in detail and followed by the convergence theorem and illustrated by solving some numerical examples. Cited in 1 ReviewCited in 46 Documents MSC: 65F05 Direct numerical methods for linear systems and matrix inversion 08A72 Fuzzy algebraic structures Keywords:symmetric positive definite matrix; convergence; numerical examples PDF BibTeX XML Cite \textit{S. Abbasbandy} et al., Appl. Math. Comput. 172, No. 1, 633--643 (2006; Zbl 1088.65023) Full Text: DOI References: [1] Allahviranloo, T., Numerical methods for fuzzy system of linear equations, Appl. Math. Comput., 155, 493-502 (2004) · Zbl 1067.65040 [2] Cong-Xin, W.; Ming, M., Embedding problem of fuzzy number space: Part: I, Fuzzy Sets Syst., 44, 33-38 (1991) · Zbl 0757.46066 [3] Datta, B. N., Numerical Linear Algebra and Applications (1995), ITP press: ITP press New York [4] Dubois, D.; Prade, H., Fuzzy Sets and Systems: Theory and Application (1980), Academic Press: Academic Press New York [5] Friedman, M.; Ming, M.; Kandel, A., Fuzzy linear systems, Fuzzy Sets Syst., 96, 201-209 (1998) · Zbl 0929.15004 [6] Friedman, M.; Ming, M.; Kandel, A., Duality in fuzzy linear systems, Fuzzy Sets Syst., 109, 55-58 (2000) · Zbl 0945.15002 [7] Goulb, G. H.; Van Loan, C. F., Matrix Computation (1984), LTD Press: LTD Press London [8] Wang, X.; Zhong, Z.; Ha, M., Iteration algorithms for solving a system of fuzzy linear equations, Fuzzy Sets Syst., 119, 121-128 (2001) · Zbl 0974.65035 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.