The generalized Moore-Penrose inverses of matrices over rings

被引:0
作者
Yuan, Wangui [1 ]
Liao, Zuhua [1 ]
机构
[1] So Yangzte Univ, Sch Sci, WuXi 214000, JaingSu, Peoples R China
来源
Advances in Matrix Theory and Applications | 2006年
关键词
generalized inverse; generalized Moore-Penrose inverse; regular ting with an involution * and unity 1; matrices;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the generalized Moore-Penrose inverses of matrices over a regular ring with an involution * and unity I (include left and right main ideal ring, single Artin Ring), denoted by A(MN)(+) is studied. The uniqueness of A(MN)(+) is proved. And several expressions of A(MN)(+) are given. In addition, the solutions of the generalized {1, 3}-inverse and the generalized {1, 4}-inverses are given.
引用
收藏
页码:289 / 292
页数:4
相关论文
共 9 条
  • [1] [Anonymous], 1971, GEN INVERSES MATRICE
  • [2] Ben-Israel A., 2003, GEN INVERSES THEORY, V15
  • [3] Chen JL, 1991, ACTA MATH SINICA, V34, P622
  • [4] LIU S, 2002, J MATH, V22, P117
  • [5] LIU XJ, 1988, J MATH, V18, P267
  • [6] Liu XL, 2004, CHINESE J ORG CHEM, V24, P641
  • [7] PRASAD KM, 1992, LINEAR ALGEBRA APPL, V165, P59
  • [8] RAO BKP, 2002, THEORY GEN INVERSES
  • [9] WANG ZJ, 2003, SW NORMAL U J, V28, P23