摘要
环上矩阵的Moore-Penrose逆周建华(东南大学数学力学系.南京210018)本文中的环R均指含单位元的结合环,R ̄(m×n)表示R上地(m×n)矩阵全体。若σ是R上的对合反自同构,A∈R ̄(m×n),A=(a_(ij)),则以A*表示(a_(...
The generalized Moore-Penrose inverses of matrices over a ring with an involutary anti-au-tomorphisme are discussed.The necessary and sufficient condition for its existence is obtained in termsof the peitive conditiun for the matrices.
出处
《东南大学学报(自然科学版)》
EI
CAS
CSCD
1995年第1期131-133,共3页
Journal of Southeast University:Natural Science Edition
关键词
矩阵
环
广义逆
matrices
associative rings
generalized inverses/positive condition