Exact expressions for the Drazin inverse of anti-triangular matrices

被引：7
|
作者：
Zhang, Daochang [1 ]
Zhao, Yue [1 ]
Mosic, Dijana [2 ]
Katsikis, Vasilios N. [3 ]
机构：
[1] Northeast Elect Power Univ, Coll Sci, Jilin, Peoples R China
[2] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia
[3] Natl & Kapodistrian Univ Athens, Dept Econ, Div Math Informat & Stat Econometr, Sofokleous 1 St, Athens 10559, Greece
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 428卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Drazin inverse; Anti -triangular block matrix; Block matrix; Index; DETERMINANTAL REPRESENTATIONS; LINEAR-SYSTEMS; SUM; COMPUTATION; EXISTENCE;
D O I：
10.1016/j.cam.2023.115187
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main contribution of this paper is to develop explicit expressions for the Drazin inverse of two kinds of anti-triangular block complex matrices under new assumptions. Further, we apply our results to obtain new formulae for the Drazin inverse of a 2 x 2 block complex matrix. We present a list of well-known results which are recovered in this paper. We give three examples to illustrate our new explicit expressions.(c) 2023 Elsevier B.V. All rights reserved.
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页数：16
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