摘要
利用欧几里德算法从理论上对多元一次不定方程组在欧氏环上的可逆线性变换下的解进行深入的研究 ,并提出用矩阵的初等变换求解欧氏环上多元一次不定方程组的算法 ,即矩阵解法 .
By using the Euclidean Algorithm and invertible linear transformation over Euclidean ring, the solutions of indefinite equations of first degree is discussed in theory. By using the matrix elementary transformation, the matrix solution of indefinite equations of first degree over Euclidean ring is given.
出处
《数学的实践与认识》
CSCD
北大核心
2004年第7期146-150,共5页
Mathematics in Practice and Theory
