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.
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.
出处
《河南科学》
2008年第5期520-524,共5页
Henan Science
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
integral coefficients
linear indeterminate equation group
elementary transformation
Euclidean algorithm
generalized inverse matrix