Further representations and computations of the generalized Moore-Penrose inverse-Reference-Cited by-同舟云学术

Further representations and computations of the generalized Moore-Penrose inverse

Published:2023 Issue:10 Volume:8 Page:23442-23458
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Zuo Kezheng¹,Chen Yang²,Yuan Li²

Affiliation:

1. School of Mathematics and Statistics, Hubei Normal University, Huangshi, China

2. Department of Mathematics and Computer Science, Hanjiang Normal University, Shiyan, China

Abstract

<abstract><p>The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized Moore-Penrose inverse are given. An equivalent condition for the continuity of the generalized Moore-Penrose inverse is proposed. Splitting methods and successive matrix squaring algorithm for computing the generalized Moore-Penrose inverse are presented.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference31 articles.

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