GENERALIZED INVERSES OF A BORDERED MATRIX OF OPERATORS

被引：25
|
作者：
HALL, FJ
机构：
[1] N CAROLINA STATE UNIV, DEPT MATH, RALEIGH, NC 27607 USA
[2] PEMBROKE STATE UNIV, DEPT MATH, PEMBROKE, NC 28372 USA
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 1975年 / 29卷 / 01期
关键词：
D O I：
10.1137/0129015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The results of F. J. Hall and C. D. Meyer are extended to (1)-inverses of a matrix of bounded linear operators. The blocks of (1,3)- and (1,4)-inverses of the matrix are completely characterized and are shown to be independent of each other. A form for the Moore-Penrose inverse of the matrix and related are also obtained.
引用
收藏
页码：152 / 163
页数：12
相关论文
共 50 条
  • [31] APPROXIMATIONS TO GENERALIZED INVERSES OF LINEAR-OPERATORS
    NASHED, MZ
    MOORE, RH
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (02): : A310 - A311
  • [32] ON GENERALIZED INVERSES OF SINGULAR MATRIX PENCILS
    Roebenack, Klaus
    Reinschke, Kurt
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2011, 21 (01) : 161 - 172
  • [33] The representations of generalized inverses of lower triangular operators
    Shao, Chun Fang
    Du, Hong Ke
    Ji, Shu Feng
    Xu, Jun Lian
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2009, 25 (12) : 2107 - 2118
  • [34] Secondary transpose of matrix and generalized inverses
    Varkady, Savitha
    Purushothama, Divya Shenoy
    Kelathaya, Umashankara
    Bapat, Ravindra B.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (03)
  • [35] SYSTEM INVERSION BY MATRIX GENERALIZED INVERSES
    LOVASSNAGY, V
    MILLER, RJ
    POWERS, DL
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1977, 8 (06) : 715 - 720
  • [36] GENERALIZED INVERSES OF FUZZY MATRIX.
    Luo Cheng-Zhong
    1982, : 57 - 60
  • [37] Generalized inverses of an invertible infinite matrix
    Sivakumar, KC
    LINEAR & MULTILINEAR ALGEBRA, 2006, 54 (02): : 113 - 122
  • [38] ON GENERALIZED INVERSES OF A BLOCK IN A PARTITIONED MATRIX
    BHIMASANKARAM, P
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 109 : 131 - 143
  • [39] Characterizations of Matrix Equalities for Generalized Inverses of Matrix Products
    Tian, Yongge
    AXIOMS, 2022, 11 (06)
  • [40] Relationships between generalized inverses of a matrix and generalized inverses of its rank-one-modifications
    Baksalary, JK
    Baksalary, OM
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 388 : 31 - 44
12345