| ON THE CONVERGENCE OF THE RELAXATION METHODS FOR POSITIVE DEFINITE LINEAR SYSTEMS |
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| 作者姓名： | Zhong-zhi Bai |
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| 作者单位： | Zhong-zhi Bai(ICMSEC，Chinese Academy of Sciences，P.O.Box 2719，Beijing 100080，China)Tin-zhu Huang (Department of Applied Mathematics，The University of Electronic Science and Technology of China，Chengdu 610054，China) |
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| 摘 要： | 1.IntroductionTheclassicaliterativemethods,suchastheJacobimethod,theGauss-SeidelmethodandtheSORmethod,aswellastheirsymmetrizedvariants,playanimportantroleforsolvingthelargesparsesystemoflinearequationsInaccordancewiththebasicextrapolationprincipleofthelineariterativemethod,Hadjidimos1]furtherproposedaclassofacceleratedoverrelaxation(AOR)methodforsolyingthelinearsystem(1.1)in1978.Thismethodincludestwoarbitraryparameters,andtheirsuitablechoicesnotonlycannaturallyrecovertheJacobi,theGauss-S…
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ON THE CONVERGENCE OF THE RELAXATION METHODSFOR POSITIVE DEFINITE LINEAR SYSTEMS |
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| Zhong-zhi Bai.ON THE CONVERGENCE OF THE RELAXATION METHODS FOR POSITIVE DEFINITE LINEAR SYSTEMS[J].Journal of Computational Mathematics,1998(6). |
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| Authors: | Zhong-zhi Bai |
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| Abstract: | We establish the convergence theories of the symmetric relaxation methods for the system of linear equations with symmetric positive definite coefficient matrix,and more generally, those of the unsymmetric relaxation methods for the system of linear equations with positive definite matrix. |
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| Keywords: | System of linear equations Relaxation method Convergence theory Positive definite matrix |
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