金陵科技学院学报
金陵科技學院學報
금릉과기학원학보
JOURNAL OF JINLING INSTITUTE OF TECHNOLOGY
2014年
1期
5-8
,共4页
矩阵广义逆%加权广义逆%矩阵的乘积%矩阵的秩
矩陣廣義逆%加權廣義逆%矩陣的乘積%矩陣的秩
구진엄의역%가권엄의역%구진적승적%구진적질
generalized inverses matrix%weighted generalized inverses%product of matrices%rank of matrix
研究了权矩阵为可逆阵的矩阵乘积的加权广义逆。在已有的加权广义逆矩阵存在条件及表达式的基础上，利用矩阵的秩，给出了2个及3个矩阵乘积的加权广义逆的几个表达式。
研究瞭權矩陣為可逆陣的矩陣乘積的加權廣義逆。在已有的加權廣義逆矩陣存在條件及錶達式的基礎上，利用矩陣的秩，給齣瞭2箇及3箇矩陣乘積的加權廣義逆的幾箇錶達式。
연구료권구진위가역진적구진승적적가권엄의역。재이유적가권엄의역구진존재조건급표체식적기출상，이용구진적질，급출료2개급3개구진승적적가권엄의역적궤개표체식。
This paper discusses the weighted generalized inverses of the matrices products where the weights are invertible.Based on the condition for the existence of weighted general-ized inverse of a matrix and its expression,several expressions for the weighted generalized in-verses of two and three matrices products are given by using rank of matrix.
