| GENERALIZED MATRIX MULTISPLITTING RELAXATION METHODS AND THEIR CONVERGENCE |
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| 作者姓名： | 白中治 王德人 |
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| 作者单位： | Department of Mathematics Shanghai University of Science and Technology，Shanghai 201800，PRC.，Department of Mathematics Shanghai University of Science and Technology，Shanghai 201800，PRC. |
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| 摘 要： | In this paper, we set up a general framework of parallel matrix mullisplitting relaxation methods for solving large scale system of linear equations. We investigate the convergence properties of this framework and give several sufficient conditions ensuring it to converge as well as diverge. At last, we conclude a necessary and sufficient condition for the convergence of this framework when the coefficient matrix is an L-matrix.
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GENERALIZED MATRIX MULTISPLITTING RELAXATION METHODS AND THEIR CONVERGENCE |
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| Bai Zhong-zhi.GENERALIZED MATRIX MULTISPLITTING RELAXATION METHODS AND THEIR CONVERGENCE[J].Numerical Mathematics A Journal of Chinese Universities English Series,1993(1). |
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| Authors: | Bai Zhong-zhi |
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| Institution: | Bai Zhong-zhi Department of Mathematics Shanghai University of Science andTechnology,Shanghai 201800,PRC. Wang De-ren Department of Mathematics Shanghai University of Science andTechnology,Shanghai 201800,PRC. |
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| Abstract: | In this paper, we set up a general framework of parallel matrix mullisplitting relaxation methods for solving large scale system of linear equations. We investigate the convergence properties of this framework and give several sufficient conditions ensuring it to converge as well as diverge. At last, we conclude a necessary and sufficient condition for the convergence of this framework when the coefficient matrix is an L-matrix. |
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| Keywords: | System of linear equations matrix mullisplilting relaxation method convergence divergence |
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