New Characterizations of the Generalized B-T Inverse

被引:2
作者
Xu, Sanzhang [1 ,2 ]
Wang, Dingguo [1 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[2] Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Peoples R China
基金
中国国家自然科学基金;
关键词
B-T inverse; Moore-Penrose inverse; CORE INVERSE; RINGS;
D O I
10.2298/FIL2203945X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Characterizations and explicit expressions of the generalized B-T inverse are given, this generalized inverse exists for any square matrix and any integer. The relationships between the generalized B-T inverse and some well-known generalized inverses are investigated. Moreover, an explicit formula of the generalized B-T inverse is given by using Hartwig-Spindelbock decomposition.
引用
收藏
页码:945 / 950
页数:6
相关论文
共 20 条
  • [1] On a generalized core inverse
    Baksalary, Oskar Maria
    Trenkler, Goetz
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 236 : 450 - 457
  • [2] Core inverse of matrices
    Baksalary, Oskar Maria
    Trenkler, Goetz
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (06) : 681 - 697
  • [3] ON ONE-SIDED (B, C)-INVERSES OF ARBITRARY MATRICES
    Benitez, Julio
    Boasso, Enrico
    Jin, Hongwei
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2017, 32 : 391 - 422
  • [4] The (b, c)-Inverse in Rings and in the Banach Context
    Boasso, Enrico
    Kantun-Montiel, Gabriel D
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (03)
  • [5] A class of outer generalized inverses
    Drazin, Michael P.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (07) : 1909 - 1923
  • [6] Drazin MP., 1958, AM MATH MONTHLY, V65, P506, DOI [DOI 10.2307/2308576.416, 10.1080/00029890.1958.11991949]
  • [7] Hartwig R., 1983, LINEAR MULTILINEAR A, V14, P241
  • [8] The forward order laws for the core inverse
    Li, Tingting
    Mosic, Dijana
    Chen, Jianlong
    [J]. AEQUATIONES MATHEMATICAE, 2021, 95 (03) : 415 - 431
  • [9] The core inverses of differences and products of projections in rings with involution
    Li, Tingting
    Chen, Jianlong
    Mosic, Dijana
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (04) : 3283 - 3296
  • [10] On a new generalized inverse for matrices of an arbitrary index
    Malik, Saroj B.
    Thome, Nestor
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 226 : 575 - 580