| 块Jacobi迭代阵的收敛性 |
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| 引用本文： | 黄廷祝.块Jacobi迭代阵的收敛性[J].电子科技大学学报(社会科学版),1996(6). |
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| 作者姓名： | 黄廷祝 |
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| 作者单位： | 电子科技大学应用数学系 |
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| 摘 要： | 研究大型线性方程组迭代解法中分块ＪＡＣＯＢＩ迭代阵的收敛性。采用块矩阵分析方法和谱半径降维估计法得到块Ｊａｃｏｂｉ迭代阵收敛的实用充分条件。
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| 关 键 词： | 迭代，Jacobi代阵，收敛，谱半径 |
Convergence of Block Jacobi Matrices |
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| Huang Tinzhu.Convergence of Block Jacobi Matrices[J].Journal of University of Electronic Science and Technology of China(Social Sciences Edition),1996(6). |
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| Authors: | Huang Tinzhu |
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| Abstract: | For solving large systems of linear equations, the block Jacobi iterations are often used.The necessary and sufficient condition of convergence of the block Jacobi iterations is that the spectral radius of block iterative matrices is less than 1.In this paper, the block matrix analysis methods and estimate for the spectral radius are applied to obtain some pratical sufficient conditions for the convergence of block Jacobi matrix. |
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| Keywords: | iteration Jacobi matrix convergence spectral radius |
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