Some characterizations and properties of a new partial order
type: Item
instance of: scholarly article
title: Some characterizations and properties of a new partial order
zbMATH Open document ID: 1489.06001
DOI: 10.1155/2020/3215038
author: Xiaoji Liu
author: Fang Gui
published in: Journal of Mathematics
publication date: 2021-01-07T00:00:00Z
review text: Summary: On the basis of Löwner partial order and core partial order, we introduce a new partial order: LC partial order. By applying matrix decomposition, core inverse, core partial order, and Löwner partial order, we give some characteristics of LC partial order, study the relationship between LC partial order and Löwner partial order under constraint conditions, and illustrate its differences with some classical partial orders, such as minus, CL, and GL partial orders.
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 06A07
zbMATH DE Number: 7290886
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/3215038
OpenAlex ID: W3084399826
cites work: On partial orderings on the set of rectangular matrices
cites work: Core inverse of matrices
cites work: Square inequality and strong order relation
cites work: Generalized inverses: theory and computations
cites work: Generalized inverses. Theory and applications.
cites work: Q3884160
cites work: Q3654872
cites work: Partial orders based on core-nilpotent decomposition
cites work: Core-EP decomposition and its applications
cites work: The polar-like decomposition and its applications
cites work: A partial order on the set of complex matrices with index one
description: scientific article; zbMATH DE number 7290886