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.

引用

页数：16

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