%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