| 整系数线性不定方程组的矩阵解法(英文) |
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| 引用本文： | 邓勇.整系数线性不定方程组的矩阵解法(英文)[J].河南科学,2008,26(5):520-524. |
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| 作者姓名： | 邓勇 |
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| 作者单位： | 喀什师范学院数学系,新疆,喀什,844006 |
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| 摘 要： | 目前的文献资料中关于整系数线性不定方程组的解法很多,这些方法的一个共同特点是没有规律性且计算过程复杂.本文利用线性代数知识,借助于矩阵的广义逆矩阵,给出了一种求整系数线性不定方程组的统一方法——矩阵法.
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| 关 键 词： | 整系数 线性不定方程组 初等变换 辗转相除法 广义逆矩阵 |
| 文章编号： | 1004-3918(2008)05-0520-05 |
| 修稿时间： | 2008年1月16日 |
A Matrix Solution for Linear IndeterminateEquation Group with Integral Coefficients |
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| Deng Yong.A Matrix Solution for Linear IndeterminateEquation Group with Integral Coefficients[J].Henan Science,2008,26(5):520-524. |
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| Authors: | Deng Yong |
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| Institution: | Deng Yong(Department of Mathematics,Kashgar Teachers College,Kashgar 844006,Xinjiang China) |
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| Abstract: | The common feature of many solutions on systems of linear indefinite equations in the present literature was irregular and its calculated process is complex.And in this study,an unified matrix solution was given based on the systems of linear indefinite equations with integral coefficients and generalized inverse matrix. |
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| Keywords: | integral coefficients linear indeterminate equation group elementary transformation Euclidean algorithm generalized inverse matrix |
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