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Global FOM and GMRES Methods for Solvinga Class of Fuzzy Linear Systems(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2021年01期
Page:
13-19
Research Field:
·数学·
Publishing date:

Info

Title:
Global FOM and GMRES Methods for Solvinga Class of Fuzzy Linear Systems
Author(s):
Gu Ying1; Ge Zhili2; Chen Xin3
(1.School of Literature and Science,Suqian College,Suqian 223800,China)(2.Basic Sciences Department,Nanjing Polytechnic Institute,Nanjing 210048,China)(3.School of Mathematical Sciences,Nanjing Normal University,Nanjing 210023,China)
Keywords:
fuzzy linear systems; matrix equation; global full orthogonalization method; global generalized minimum residual method
PACS:
O241.6
DOI:
10.3969/j.issn.1001-4616.2021.01.003
Abstract:
In this paper,we consider a class of n×n fuzzy linear systems,whose coefficient matrix is an exact number matrix and the right-hand side is a fuzzy number vector. Based on the matrix equation model,we propose the global full orthogonalization method and the global generalized minimum residual method to solve the fuzzy linear systems. We also prove the convergence. Finally,numerical results illustrate the stability and effectiveness of the proposed methods.

References:

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Last Update: 2021-03-15