摘要
ClineRE给出了分块矩阵的Moore-Penrose逆的表达式,PetrPeska引进了分块态射的记号且导出了分块态射的Moore-Penrose逆的表达式.本文中,我们推广了Cline型分块态射的记号并得到了Cline型分块态射的Moore-Penrose逆和Drazin逆以及群逆的表达式.
Cline R E published a formula for a Moore-Penrose inverse of a partitioned matrix. Petr Peska introduced the notion of partitioned morphism and gave a formula for its Moore-Penrose inverse. In this article, the extension of Cline's partitioned morphism is introduced and formulas for its Moore-Penrose inverse and Drazin inverse and group inverse are derived.
出处
《大学数学》
2009年第1期104-108,共5页
College Mathematics
基金
广西科学基金项目(桂科基0575032
桂科青06400161)
河北教育厅自然科学研究项目(Z2008126)