Displacement structure of the DMP inverse-Reference-Cited by-同舟云学术

Displacement structure of the DMP inverse

Published:2022-01-01 Issue:1 Volume:20 Page:1203-1214
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Zhong Jin¹,Yang Hong²

Affiliation:

1. Faculty of Science, Jiangxi University of Science and Technology , Ganzhou 341000 , China

2. Ministry of Public Infrastructure, Ganzhou Vocational and Technical College , Ganzhou 341000 , China

Abstract

Abstract A matrix

is said to have the displacement structure if the rank of the Sylvester displacement

A U − V A

AU-VA

or the Stein displacement

A − V A U

A-VAU

is much smaller than the rank of

. In this article, we study the displacement structure of the DMP inverse

A d , †

{A}^{d,\dagger }

. Estimations for the Sylvester displacement rank of DMP inverse are presented under some restrictions. The generalized displacement is also discussed. The general results are applied to the core inverse.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0506/pdf

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