| AOR迭代法的误差估计 |
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| 引用本文： | 高中喜,黄廷祝.AOR迭代法的误差估计[J].黑龙江大学自然科学学报,2004,21(4):103-106. |
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| 作者姓名： | 高中喜 黄廷祝 |
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| 作者单位： | 电子科技大学,应用数学学院,四川,成都,610054;电子科技大学,应用数学学院,四川,成都,610054 |
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| 摘 要： | 在双严格占优矩阵条件下,给出了相容矩阵范数的一个上界,并以此为基础,得到了线性方程组求解时的AOR迭代法的误差估计式.作为特殊情形,当σ=ω=1时,得到了Gauss-Seidel迭代法的更简捷形式的误差估计式.
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| 关 键 词： | 矩阵范数 误差估计 AOR迭代法 双严格对角占优阵 |
Estimate for error of the AOR iterative method |
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| GAO Zhong-xi,HUANG Ting-zhu.Estimate for error of the AOR iterative method[J].Journal of Natural Science of Heilongjiang University,2004,21(4):103-106. |
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| Authors: | GAO Zhong-xi HUANG Ting-zhu |
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| Abstract: | A upper bound with consistent matrix norm and the estimate for error of AOR iterative method for solving linear equation system , which based on the doubly diagonal dominance, are presented. Especially, when σ = ω = 1, a simple estimate for error of Gauss-Seidel iterative method is obtained. |
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| Keywords: | matrix norm error estimate AOR iterative method a doubly and strictly diagonal dominance |
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