Core inverse of matrices

被引：399

作者：

Baksalary, Oskar Maria ^{[1
]}

Trenkler, Goetz ^{[2
]}

机构：

[1] Adam Mickiewicz Univ Poznan, Fac Phys, PL-61614 Poznan, Poland

[2] Dortmund Univ Technol, Dept Stat, D-44221 Dortmund, Germany

来源：

LINEAR & MULTILINEAR ALGEBRA | 2010年 / 58卷 / 06期

关键词：

Moore-Penrose inverse; group inverse; Bott-Duffin inverse; generalized inverse; normalized generalized inverse; EP matrix; projector; star matrix partial ordering; minus matrix partial ordering; sharp matrix partial ordering; PARTIAL ORDER;

D O I：

10.1080/03081080902778222

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article introduces the notion of the Core inverse as an alternative to the group inverse. Several of its properties are derived with a perspective towards possible applications. Furthermore, a matrix partial ordering based on the Core inverse is introduced and extensively investigated.

引用

页码：681 / 697

页数：17

共 16 条

[1]

[Anonymous], 1979, Generalized inverses of linear transformations

[2]

[Anonymous], 1971, Generalized Inverses of Matrices and its Applications

[3] Further results on generalized and hypergeneralized projectors [J].