整矩阵的满秩分解  

Full rank factorization of integer matrix

作　　者：王娇[1] WANG Jiao(Department of Mathematics, Changzhi University, Changzhi Shanxi 046011, China)

机构地区：[1]长治学院数学系,山西长治046011

出　　处：《阜阳师范学院学报（自然科学版）》2017年第3期10-12,共3页Journal of Fuyang Normal University(Natural Science)

基　　金：长治学院校级科研项目(201515)资助

摘　　要：文章以整矩阵为研究对象,利用保持整矩阵整元素特性的整初等变换,研究了将非零整矩阵分解为列满秩整矩阵和行满秩整矩阵的乘积问题,完成了整矩阵的满秩分解。The integer matrix is studied in this article. Based on the integer elementary transformation which can keep the integer element properties of the integer matrix, the product problem is considered in order to decompose the non-zero integer matrix into the column full rank integer matrix and the row full rank integer matrix. Accordingly, the full rank factorization of integer matrix is implemented.

关 键 词：整矩阵 整初等变换 满秩分解 

分 类 号：O151.21[理学—数学]