Ordered matrices with nonnegative group projector

被引：0
|
作者：
Herrero, Alicia [1 ]
Thome, Nestor [1 ]
机构：
[1] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Valencia, Spain
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 02期
关键词：
{1}-inverses; Group inverse; Moore-Penrose inverse; Minus partial order; Star partial order; Sharp partial order; CORE PARTIAL ORDER; ALGORITHM; SYSTEMS;
D O I：
10.1007/s13398-020-00781-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the most usual matrix partial orders are considered on the ring of real matrices. These orders are studied on at most index 1 matrices having nonnegative group projector by using a specific block structure. The goal of this paper is to analyze how this structure is inherited by predecessors ordered under minus, sharp, star, and one-sided orders. In addition, the case of arbitrary index (greater than 1) is also investigated by means of the cn-partial order and using the Drazin inverse.
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页数：14
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