%0 Journal Article
%T Generalized Inverses of Matrices on an Arbitrary Division Ring
任意除环上矩阵的广义逆
%A LIU Yong-Hui
%A SHU Chao
%A CHEN Guan-Liang
%A
刘永辉
%A 朱超
%A 陈果良
%J 数学物理学报(A辑)
%D 2005
%I
%X In this paper, generalized inverses of matrices on an arbitrary division ring are studied by using projector operator. The characterization and representation theory of {2} inverses with prescribed range and null space are established. As an application, some new representation forms of p M-P inverse, group inverse and Drazin inverse are obtained.
%K Division ring
%K Generalized inverse A_(T
%K S)~(2)
%K M-P inverse
%K Group inverse
%K Drazin inverse
除环
%K 广义逆AT.S^(2)
%K M—P逆
%K 群逆
%K Drazin逆
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=20F15DDD115F1934&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=B31275AF3241DB2D&sid=BDEE8BA20F4733DB&eid=FE17D37BFC90FA6B&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=3&reference_num=16