Further results on the reverse order law for generalized inverses

被引:63
作者
Djordjevic, Dragan S. [1 ]
机构
[1] Univ Nis, Dept Math & Informat, Fac Sci & Math, Nish 18000, Serbia
关键词
Moore-Penrose inverse; generalized inverses; reverse order law;
D O I
10.1137/050638114
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The reverse order rule (AB)(dagger) = B-dagger A(dagger) for the Moore-Penrose inverse is established in several equivalent forms. Results related to other generalized inverses are also proved.
引用
收藏
页码:1242 / 1246
页数:5
相关论文
共 18 条
[1]  
Ben-Israel A., 2003, GENERALIZED INVERSE
[2]   PSEUDO-INVERSE OF A PRODUCT [J].
BOULDIN, R .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1973, 24 (04) :489-495
[3]  
BOULDIN RH, 1982, RES NOTES MATH, V66, P233
[4]  
CARADUS SR, 1978, QUEENS PAPERS PURE A, V50
[5]  
Djordjevic D. S, 2001, ACTA SCI MATH SZEGED, V167, P761
[6]   NOTE ON GENERALIZED INVERSE OF A MATRIX PRODUCT [J].
GREVILLE, TN .
SIAM REVIEW, 1966, 8 (04) :518-&
[7]  
HARTE RE, 1988, INVERTIVILITY SINGUL
[8]   THE REVERSE ORDER LAW REVISITED [J].
HARTWIG, RE .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1986, 76 :241-246
[9]   THE PRODUCT OF OPERATORS WITH CLOSED RANGE AND AN EXTENSION OF THE REVERSE ORDER LAW [J].
IZUMINO, S .
TOHOKU MATHEMATICAL JOURNAL, 1982, 34 (01) :43-52
[10]  
Koliha J.J., 1999, Math. Proc. R. Ir. Acad., V99, P17