Explicit Formulae for the Drazin Inverse of Anti-Triangular Block Matrices

被引：1
作者：
Zhang, Daochang [1 ]
Mosic, Dijana [2 ]
Jin, Yu [1 ]
机构：
[1] Northeast Elect Power Univ, Coll Sci, Jilin, Jilin, Peoples R China
[2] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia
来源：
FILOMAT | 2022年 / 36卷 / 18期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
DETERMINANTAL REPRESENTATIONS; ITERATIVE METHODS; SUM;
D O I：
10.2298/FIL2218215Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we analyze the index relation of anti-triangular block matrices and their entries to separately obtain new and strict expressions for the Drazin inverse of them under certain circumstances. As applications, we utilize the relationship between the anti-triangular block matrix and a 2 x 2 block matrix to establish several formulae. Our results generalize and unify a series of results in the literature.
引用
收藏
页码：6215 / 6229
页数：15
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