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
  • [11] SHORTED OPERATORS AND GENERALIZED INVERSES OF MATRICES
    MITRA, SK
    PURI, ML
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1979, 25 (01) : 45 - 56
  • [12] CLASSIFICATION OF MATRIX GENERALIZED INVERSES
    GILLIES, AW
    SIAM REVIEW, 1970, 12 (04) : 573 - &
  • [13] Linear inessential operators and generalized inverses
    Barnes, Bruce A.
    COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2009, 50 (01): : 75 - 82
  • [14] Generalized Inverses of Conditional Type Operators
    H. Emamalipour
    M. R. Jabbarzadeh
    A. Shahi
    Complex Analysis and Operator Theory, 2020, 14
  • [15] Generalized inverses of multivalued linear operators
    Chamkha, Yosra
    Kammoun, Marwa
    Lajnef, Melik
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2024, 73 (01) : 241 - 257
  • [16] On the semiring of generalized inverses of a matrix
    Sathi, P. H.
    Romeo, P. G.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2025, 18 (01)
  • [17] Generalized Inverses of Conditional Type Operators
    Emamalipour, H.
    Jabbarzadeh, M. R.
    Shahi, A.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2020, 14 (07)
  • [18] Generalized Inverses of a Partitioned Matrix
    党诵诗
    数学研究与评论, 1984, (02) : 105 - 107
  • [19] Matrix splittings and generalized inverses
    Dincic, Nebojsa C.
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2009, 74 (3-4): : 233 - 247
  • [20] Generalized inverses of multivalued linear operators
    Yosra Chamkha
    Marwa Kammoun
    Melik Lajnef
    Rendiconti del Circolo Matematico di Palermo Series 2, 2024, 73 : 241 - 257
12345