摘要
运用独特的矩阵块计算方法,在复数域上研究了n阶幂零矩阵在相似变换下的广义逆,确定了在相似变换下幂零矩阵的拓展{Ⅰ}-逆,作为应用,还给出了这一矩阵的{Ⅰ,Ⅱ}-逆,以及一般方阵的拓展{Ⅰ}-逆.
In this paper,using matrix computational method,the generalized inverses of the nilpotent matrix of order n are discussed under similar transformation over a complex field,and the widening {Ⅰ}-inverses of a nilpotent matrix under similar transformation are given by using these results,and {Ⅰ,Ⅱ}-inverse or {Ⅰ}-inverses of a nilpotent matrix are also provided.
出处
《河南大学学报（自然科学版）》
CAS
北大核心
2010年第6期565-570,共6页
Journal of Henan University:Natural Science
基金
海南省自然科学基金资助项目(109005)
关键词
幂零矩阵
拓展广义逆矩阵
相似变换
nilpotent matrix
widening generalized inverse matrix
similar transformation
