CHEBYSHEV ACCELERATION TECHNIQUE FOR SOLVING FUZZY LINEAR SYSTEM
In this paper, Chebyshev acceleration technique is used to solve the fuzzy linear system (FLS). This method is discussed in details and followed by summary of some other acceleration techniques. Moreover, we show that in some situations that the methods such as Jacobi, Gauss-Sidel, SOR and conjugate...
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Format: | Article |
Language: | English |
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Islamic Azad University, Rasht Branch
2009-10-01
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Series: | Iranian Journal of Optimization |
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Online Access: | http://ijo.iaurasht.ac.ir/pdf_513961_7a4f2ccd0cf5582c2a85e158ea7974ca.html |
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author | S.H. Nasseri H. Attari |
author_facet | S.H. Nasseri H. Attari |
author_sort | S.H. Nasseri |
collection | DOAJ |
description | In this paper, Chebyshev acceleration technique is used to solve the fuzzy linear system (FLS). This method is discussed in details and followed by summary of some other acceleration techniques. Moreover, we show that in some situations that the methods such as Jacobi, Gauss-Sidel, SOR and conjugate gradient is divergent, our proposed method is applicable and the acquired results are illustrated by some numerical examples. |
first_indexed | 2024-12-10T20:42:50Z |
format | Article |
id | doaj.art-45cdf17f59cb4f568ade534b9364ca05 |
institution | Directory Open Access Journal |
issn | 2008-5427 2008-5427 |
language | English |
last_indexed | 2024-12-10T20:42:50Z |
publishDate | 2009-10-01 |
publisher | Islamic Azad University, Rasht Branch |
record_format | Article |
series | Iranian Journal of Optimization |
spelling | doaj.art-45cdf17f59cb4f568ade534b9364ca052022-12-22T01:34:19ZengIslamic Azad University, Rasht BranchIranian Journal of Optimization2008-54272008-54272009-10-0113291301513961CHEBYSHEV ACCELERATION TECHNIQUE FOR SOLVING FUZZY LINEAR SYSTEMS.H. Nasseri0H. Attari1Department of Mathematics, University of Mazandaran, Babolsar, Iran.Department of Mathematics, University of Mazandaran, Babolsar, Iran.In this paper, Chebyshev acceleration technique is used to solve the fuzzy linear system (FLS). This method is discussed in details and followed by summary of some other acceleration techniques. Moreover, we show that in some situations that the methods such as Jacobi, Gauss-Sidel, SOR and conjugate gradient is divergent, our proposed method is applicable and the acquired results are illustrated by some numerical examples.http://ijo.iaurasht.ac.ir/pdf_513961_7a4f2ccd0cf5582c2a85e158ea7974ca.htmlACCELERATION TECHNIQUESCHEBYSHEV ACCELERATION TECHNIQUEFUZZY SYSTEM OF LINEAR EQUATIONSITERATIVE METHODS |
spellingShingle | S.H. Nasseri H. Attari CHEBYSHEV ACCELERATION TECHNIQUE FOR SOLVING FUZZY LINEAR SYSTEM Iranian Journal of Optimization ACCELERATION TECHNIQUES CHEBYSHEV ACCELERATION TECHNIQUE FUZZY SYSTEM OF LINEAR EQUATIONS ITERATIVE METHODS |
title | CHEBYSHEV ACCELERATION TECHNIQUE FOR SOLVING FUZZY LINEAR SYSTEM |
title_full | CHEBYSHEV ACCELERATION TECHNIQUE FOR SOLVING FUZZY LINEAR SYSTEM |
title_fullStr | CHEBYSHEV ACCELERATION TECHNIQUE FOR SOLVING FUZZY LINEAR SYSTEM |
title_full_unstemmed | CHEBYSHEV ACCELERATION TECHNIQUE FOR SOLVING FUZZY LINEAR SYSTEM |
title_short | CHEBYSHEV ACCELERATION TECHNIQUE FOR SOLVING FUZZY LINEAR SYSTEM |
title_sort | chebyshev acceleration technique for solving fuzzy linear system |
topic | ACCELERATION TECHNIQUES CHEBYSHEV ACCELERATION TECHNIQUE FUZZY SYSTEM OF LINEAR EQUATIONS ITERATIVE METHODS |
url | http://ijo.iaurasht.ac.ir/pdf_513961_7a4f2ccd0cf5582c2a85e158ea7974ca.html |
work_keys_str_mv | AT shnasseri chebyshevaccelerationtechniqueforsolvingfuzzylinearsystem AT hattari chebyshevaccelerationtechniqueforsolvingfuzzylinearsystem |