| 对称线性方程组的一种实用对称三角分解法 |
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| 引用本文： | 胡圣荣,罗锡文,蒋炎坤.对称线性方程组的一种实用对称三角分解法[J].武汉理工大学学报,1999,21(1):92. |
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| 作者姓名： | 胡圣荣 罗锡文 蒋炎坤 |
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| 作者单位： | 华南农业大学(胡圣荣，罗锡文)，华中理工大学(蒋炎坤) |
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| 摘 要： | 针对一般对称线性方程组三角分解法的不足，提出了一种实用的对称三角分解法，它保持了一般对称三角分解法计算量少和计算简捷的特点，同时扩大了对称三角分解的适用范围，可求解任何非奇异对称线性方程组。
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| 关 键 词： | 线性方程组 对称三角分解法 对称高斯消元法 |
A Practical Symmetric Triangular Factorization Algorithm for Symmetric Linear Systems |
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| Hu Shengrong, Luo Xiwen, Jiang YankunHu Shengrong: Ph. D.,Polytechnic College of South China Agricultural University,Guangzhou ,China..A Practical Symmetric Triangular Factorization Algorithm for Symmetric Linear Systems[J].Journal of Wuhan University of Technology,1999,21(1):92. |
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| Authors: | Hu Shengrong Luo Xiwen Jiang YankunHu Shengrong: Ph D Polytechnic College of South China Agricultural University Guangzhou China |
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| Affiliation: | Hu Shengrong, Luo Xiwen, Jiang YankunHu Shengrong: Ph. D.,Polytechnic College of South China Agricultural University,Guangzhou 510642,China. |
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| Abstract: | A practical symmetric triangular factorization algorithm is presented, which retains good characteristics of general ones such as little operations and simplicity,but extends the application scope. Any non-singular symmetric linear system can be solved effectively by this algorithm. |
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| Keywords: | linear systems symmetric triangular factorization symmetric gaussian elimination |
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