| ON THE COMPARISON THEOREM OF THE GTOR METHOD |
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| 引用本文： | 黎稳. ON THE COMPARISON THEOREM OF THE GTOR METHOD[J]. 数学物理学报(B辑英文版), 1998, 0(1) |
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| 作者姓名： | 黎稳 |
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| 作者单位： | Deparfment of Mathematics，South China Nomal University，Guangzhou 510631，China |
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| 摘 要： | 1IntroductionInordertogeneralizetheclasificiterativemethodssuchasJacobimethod,Gauss--SeidelInethod,relaxedJacobimethod,SORmethodandAORmethod,Kuang[2]presentsatwasparameteriterativemethodcalledTORmethod,whichiseffectivetogivethenumericalsolutionofpartialdifferentialequations.Wang['1extendstheTORmethodtothegelleralizedTOR(GTOR)methodandimprovestheresultsof[1,6,71.LetAx=b,(1.1)whereA=D--E--F,E=EI E2.ThentheiterationmatrixoftheGTORiterativemethodisgivenby['1:LGTOR(cr,g,A)=(D~crE…
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ON THE COMPARISON THEOREM OF THE GTOR METHOD |
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| Li Wen. ON THE COMPARISON THEOREM OF THE GTOR METHOD[J]. Acta Mathematica Scientia, 1998, 0(1) |
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| Authors: | Li Wen |
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| Abstract: | This paper presents a comparison theorem of the generalized TOR method forsolving linear systems. By applying this theorem, some recent results are derived. |
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| Keywords: | Spectral radius parameter GTOR method |
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