The (B, C)-Core inverse of rectangular matrices

被引：0

作者：

Zhu, Huihui ^{[1
]}

Xu, Daihan ^{[1
]}

Patricio, Pedro ^{[2
]}

Mosic, Dijana ^{[3
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230009, Peoples R China

[2] Univ Minho, CMAT Ctr Matemat, P-4710057 Braga, Portugal

[3] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia

来源：

QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 12期

基金：

中国国家自然科学基金;

关键词：

(B; C)-core inverses; Moore-Penrose inverses; matrix equations; GENERALIZED INVERSE; CORE INVERSE; MOORE-PENROSE; REPRESENTATION; ELEMENT; RINGS; NORM;

D O I：

10.2989/16073606.2024.2374776

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be an m x n complex matrix and let B, C be n x m complex matrices. The main purpose of this article is to derive several new properties of the (B, C)-core inverse. Also, we introduce and investigate the dual (B, C)-core inverse in the context of rectangular matrices. The connection between (dual) (B, C)-core inverses and other generalized inverses is given. Finally, the minimum norm solution and least square solution to the equation are expressed by using the (B, C)-core inverse.

引用

页码：2429 / 2446

页数：18

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