| 大型九对角线性方程组的近似三角分解法算法实例 |
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| 引用本文： | 刘文艳,龚学余,彭晓炜.大型九对角线性方程组的近似三角分解法算法实例[J].黄山学院学报,2009,11(3):1-4. |
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| 作者姓名： | 刘文艳 龚学余 彭晓炜 |
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| 作者单位： | 南华大学数理学院,湖南,衡阳,421001 |
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| 摘 要： | 根据矩阵三角分解法的原理,对大型九对角线性方程组进行近似三角分解,再用追赶法得到线性方程组的解.给出一个算法实例,表明该算法对大型九对角线性方程组的求解是快速和有效的.
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| 关 键 词： | 线性方程组 椭圆型方程 九点差分 近似三角分解法 |
An Instance for the Solution of the Large Sparse nine- diagonal Lineal Systems Using Approximate Matrix Factorization |
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| Liu Wenyan,Gong Xueyue,Peng Xiaowei.An Instance for the Solution of the Large Sparse nine- diagonal Lineal Systems Using Approximate Matrix Factorization[J].Journal of Huangshan University,2009,11(3):1-4. |
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| Authors: | Liu Wenyan Gong Xueyue Peng Xiaowei |
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| Institution: | Liu Wenyan,Gong Xueyue,Peng Xiaowei (University of South China,Hengyang 421001,China) |
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| Abstract: | Based on the principle of matrix factorization method, this paper firstly triangular factorizes the large sparse nine-diagonal coefficient matrix, and then obtains its solution using chase-after method. The instance shows that approximate matrix factorization is fast and effective for the solution of large sparse nine- diagonal lineal systems. |
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| Keywords: | lineal systems elliptic partial differential equation nine point difference approximate ma- trix factorization |
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