模m矩阵的广义逆与孙子定理  

The Generalized Inverse of A Matrix Modulo m And The Chinese Remainder Theorem

作　　者：谭毓澄[1] 吴筠[1] 

机构地区：[1]九江学院理学院,江西九江332005

出　　处：《九江学院学报（自然科学版）》2012年第2期109-111,114,共4页Journal of Jiujiang University：Natural Science Edition

摘　　要：讨论模m矩阵的广义逆,并以此为工具证明了孙子定理,得到了求解一次同余方程组的两种新方法.第一种方法避开了传统解法中分别求"乘率"的做法,第二种方法可直接应用于模数两两未必互素情形下的方程组.Using the relatively theory to discuss the inverse of matrix modulo m proved the Chinese Remainder Theorem. In this process, two new methods for solving system of congruences were obtained. The first method avoided the inverse for every integer modulo ; the second method could be directly applied to system of congruences with different mod- ulus in which there might be two integers not being relatively prime.

关 键 词：模m矩阵 广义逆矩阵 孙子定理 一次同余方程组 

分 类 号：O15[理学—数学]