Block SOR methods for fuzzy linear systems
type: Item
instance of: scholarly article
title: Block SOR methods for fuzzy linear systems
zbMATH Open document ID: 1156.65033
author: Shu-Xin Miao
author: Bing Zheng
author: Ke Wang
published in: Journal of Applied Mathematics and Computing
publication date: 2008-10-21T00:00:00Z
review text: The authors consider the block successive overrelaxation (SOR) iteratve procedure for solving \(n \times n\) fuzzy linear systems, in the case that the extended crisp linear system is nonsingular. They prove convergence of the method for appropriate choice of the relaxation parameter. Some experiments are added to ilustrate the theoretical results.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 08A72
zbMATH DE Number: 5354596
zbMATH Keywords: block SOR method
zbMATH Keywords: fuzzy linear systems
zbMATH Keywords: optimal parameter
zbMATH Keywords: numerical examples
zbMATH Keywords: successive overrelaxation
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s12190-007-0019-y
OpenAlex ID: W1987862378
cites work: Numerical methods for fuzzy system of linear equations
cites work: Iterative solution of fuzzy linear systems
cites work: Fuzzy linear systems
cites work: Symmetric successive overrelaxation methods for fuzzy linear systems
cites work: Block iterative methods for fuzzy linear systems
cites work: Embedding problem of fuzzy number space. I
cites work: Q5639278
cites work: Fuzzy sets
cites work: The concept of a linguistic variable and its application to approximate reasoning. I
cites work: Fuzzy sets as a basis for a theory of possibility
DOI: 10.1007/S12190-007-0019-Y
Recommended article: Block iterative methods for fuzzy linear systems
Recommended article: Solving fuzzy linear systems by a block representation of generalized inverse: the core inverse
Recommended article: Q3577480
Recommended article: Q3565710
Recommended article: Solving Fuzzy Linear Systems Based on the Structured Element Method
Recommended article: Solving fuzzy linear systems using a block representation of generalized inverses: the Moore-Penrose inverse
Recommended article: Solving fuzzy linear systems using a block representation of generalized inverses: the group inverse
Recommended article: A new approach for solving fully fuzzy linear systems
Recommended article: Q3410140
description: scientific article; zbMATH DE number 5354596