| 一种求解任意线性代数方程组的迭代算法 |
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| 引用本文： | 荆武兴,吴瑶华,王学孝.一种求解任意线性代数方程组的迭代算法[J].哈尔滨工业大学学报,1990(1). |
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| 作者姓名： | 荆武兴 吴瑶华 王学孝 |
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| 作者单位： | 哈尔滨工业大学航天学院
(荆武兴，吴瑶华)，哈尔滨工业大学航天学院(王学孝) |
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| 摘 要： | 本文给出一种求解任意线性方程组Ax=b(A∈K~(mxm);b±k~m)的迭代算法,证明了算法的收敛性,指出收敛极限是方程组的最小二乘解,特别当方程组有解时,收敛极限为方程组的一个解。最后组出一个算例,验证了本文算法的有效性。
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| 关 键 词： | 线性方程组 迭代算法 收敛性 |
An Iterative Algorithm for Solving Any System of Linear Equations |
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| Jing Wuxing Wu Yaohua Wang Xuexiao.An Iterative Algorithm for Solving Any System of Linear Equations[J].Journal of Harbin Institute of Technology,1990(1). |
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| Authors: | Jing Wuxing Wu Yaohua Wang Xuexiao |
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| Affiliation: | Jing Wuxing Wu Yaohua Wang Xuexiao |
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| Abstract: | In this paper an iterative algorithm for solving any system of linear equations is given and its convergence is proved. It is pointed out that the limit of the iterative series is the least-square solution of the system of linear equations. In particular, the limit is the solution of the system of linear equations if its solution exists. |
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| Keywords: | System of linear equations iterative algorithm convergence |
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