摘要
该文从另一方面给出了Hartwig R E提出的公开问题的解答.设R是带有对合*的任意环,作者定义了环R上的一种新的加权广义逆,记为A_(P,Q)^+,并给出了A_(P,Q)^+存在的充要条件.同时,得到了一些重要的性质.
In this paper,we give a new kind of answer from another aspect to an open problem posed by Hartwig R E.Let R be an arbitrary ring with involution.We define a new type of the weighted generalized inverse of matrices over R,denoted by AP,q^+,and give the necessary and sufficient conditions for the existence of AP,Q^+.And several expressions of AP,q^+ are also given.Meanwhile,some important properties are obtained.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2010年第3期708-717,共10页
Acta Mathematica Scientia
基金
江南大学创新团队发展计划项目(200902)资助
关键词
环
矩阵
加权广义逆
满单分解
Ring
Matrices
Weighted generalized inverse
Epic-monic factorization