| THE MULTI-PARAMETERS OVERRELAXATION METHOD |
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| 作者姓名： | Wen Li |
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| 摘 要： | 1.IntroductionRecently,manymathematicalliteratureshaveprovidedsomenewiterativemeth-odsforsolvingthelinearsystem.Kuang2]presentedatwo-parameteriterativemethodcalledTORmethod,whichiseffectivetogivethenumericalsolutionofpartialdif-ferentialequations.Wang,']extendedtheTORmethodtotheGTORmethedandimprovessomeresultsof3,11,12].In5],LialsodiscussedtheGTORmethod,andextendedthecorrespondingresultsof10,11].Recently3SongandDai9]presentedthemulti-parametersoverrelaxation(MPOR)method,whosespe…
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THE MULTI-PARAMETERS OVERRELAXATION METHOD |
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| Wen Li.THE MULTI-PARAMETERS OVERRELAXATION METHOD[J].Journal of Computational Mathematics,1998(4). |
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| Authors: | Wen Li |
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| Institution: | Wen Li(Dept. of Math. South China Normal Univ. Guangzhou)(Research Center for Applied Math. Xi'an Jiaotong Univ. Xi'an) |
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| Abstract: | In this paper, first, we present the comparison theorem and the (generalized) Stein-Rosenberg theorem for the GMPOR method, which improves some recent results9,11,13]. Second, we also give the convergent theorem of the GMPOR method, which generalizes the corresponding result of 9]. Finally, we provide the real interval such that the generalized extrapolated Jacobi iterative method and the generalized SOR methods simultaneously converge, one of the main results in 1] is extended. |
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| Keywords: | GMPOR iterative method convergence comparison theorem SteinRosenberg theorem |
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