广义逆矩阵中三个问题的研究  

Research of three questions in generalized inverse matrix

作　　者：陈建梅[1] CHEN Jian-mei(Department of Mathematics,Physics and Mechanics,Zhengzhou University of Technology,450002 Zhengzhou,Henan,China)

机构地区：[1]郑州工业大学数理力学系,河南郑州450002

出　　处：《陕西师范大学学报(自然科学版)》2001年第S1期15-17,共3页Journal of Shaanxi Normal University:Natural Science Edition

摘　　要：研究广义逆矩阵中的三个问题:(1)广义逆矩阵与逆矩阵之间的关系;(2)给出广义逆矩阵A+惟一性的简明证法及计算公式;(3)给出广义逆矩阵集合A{1}中的任意元素的简便计算表达式.Generalized inverse matrix has the extensive use i n system theory,excellent computation,statistics etc.,In the paper we chiefly r esearch on the following three questions:(1)The relation between generalized inverse matrix and inverse matrix;(2)We give the concise proof for generalized inverse matrix A+u niqueness and the computation formula ablaut A+;(3)We give the convenient computation formula ablaut an arbitrary element of g eneralized inverse matrix geometry.

关 键 词：逆矩阵 广义逆矩阵 广义逆矩阵集合A{1} 矩阵的最大秩分解式 

分 类 号：O241[理学—计算数学]