三矩阵右半张量积的(T,S,2)-逆的反序律  

Reverse Order Law for the(T,S,2)-Inverse of Triple Matrix Semi-tensor Product

作　　者：宋彩芹[1] 王晓东[2] 王慧敏[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059 [2]石家庄铁道学院数理系,河北石家庄050043

出　　处：《淮海工学院学报（自然科学版）》2009年第4期1-4,共4页Journal of Huaihai Institute of Technology:Natural Sciences Edition

基　　金：国家自然科学基金资助项目(10771073)

摘　　要：以矩阵的秩为工具,研究了三矩阵右半张量积的(T,S,2)-逆的反序律,给出了三矩阵右半张量积成立的几个充要条件,对于完善矩阵广义逆理论和促进矩阵代数的理论发展有很大的理论价值.充分探讨了三矩阵右半张量积的(T,S,2)-逆的反序律问题,一方面完善了矩阵右半张量积理论,推广了矩阵右半张量积,另一方面也完善了矩阵理论内容.By using ranks of matrices,we study the reverse order law for the（T,S,2）-inverse of a triple matrix right semi-tensor product and present each of the prerequisites for the formation of this semi-tensor product.Such a study is of great theoretical significance for the improvement of generalized matrix inverse theory and the development of matrix algebra theory.It also contributes to improving the matrix right semi-tensor product theory and helps to spread the matrix right semi-tensor product.Furthermore,it enriches the content ot the matrix theory.

关 键 词：矩阵右半张量积 (T  S  2)-逆 反序律 

分 类 号：O151.21[理学—数学]