| 关于SSOR迭代法和Jacobi迭代法的敛散性 |
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| 引用本文： | 陈恒新.关于SSOR迭代法和Jacobi迭代法的敛散性[J].华侨大学学报(自然科学版),1993,0(1):20-26. |
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| 作者姓名： | 陈恒新 |
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| 作者单位： | 华侨大学管理信息科学系 |
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| 摘 要： | 本文证明了当Jacobi矩阵B非负时,解线性方程组(系数矩阵为不可约的SSOR法(0<ω<1)和Jacobi法同时敛散,给出了SSOR法迭代矩阵之谱半径ρ(φ)和ρ(B)之间的关系。
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| 关 键 词： | SSOR迭代法 Jacobi迭代法 收敛性 发散性 |
Convergence and Divergence of SSOR Iteration Method and Jacobi Method |
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| Chen Hengxin.Convergence and Divergence of SSOR Iteration Method and Jacobi Method[J].Journal of Huaqiao University(Natural Science),1993,0(1):20-26. |
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| Authors: | Chen Hengxin |
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| Institution: | Department of Management Information Science |
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| Abstract: | SSOR iterative method (0<ω<1) and Jacobi iterative method as the methods for solving system of linear equations with irredueiable matrix of coefficients are proved to be convergent and divergent simultaneously in case Jacobi maxtrix B is nonnegative. The |
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| Keywords: | SSOR iterative method Jacobi iterative method convergence divergence |
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