| 弱对角占优矩阵的Jacobi和Gauss-Seidel及SOR迭代法收敛准则 |
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| 引用本文： | 陈恒新. 弱对角占优矩阵的Jacobi和Gauss-Seidel及SOR迭代法收敛准则[J]. 华侨大学学报(自然科学版), 1989, 0(3): 229-238. DOI: 10.11830/ISSN.1000-5013.1989.03.0229 |
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| 作者姓名： | 陈恒新 |
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| 作者单位： | 华侨大学应用数学系 |
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| 摘 要： | 本文提出了一些新的、易于检验的迭代法收敛判别准则。特别是放宽了Jacobi,Gauss-Seidel和SOR迭代法收敛的不可约弱对角占优矩阵这一条件。
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| 关 键 词： | 矩阵 迭代法 收敛 弱对角占优矩阵 |
Convergence Criteria of Jacobi, Gauss-Seidel,and SOR Iteration Methods in Weak Diagonally Dominant Matrix |
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| Chen Hengxin. Convergence Criteria of Jacobi, Gauss-Seidel,and SOR Iteration Methods in Weak Diagonally Dominant Matrix[J]. Journal of Huaqiao University(Natural Science), 1989, 0(3): 229-238. DOI: 10.11830/ISSN.1000-5013.1989.03.0229 |
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| Authors: | Chen Hengxin |
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| Affiliation: | Chen Hengxin |
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| Abstract: | This paper poses some new and easy to test convergence criteria of itera- tion methods. It extends especially the condition of unreduced weak diagonally dominant matrix for the convergence of Jacobi, Gauss-Seidel, and SOR iteration methods. |
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| Keywords: | matrices iteration method convergence weak diagonally dominant matrix |
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