A Relation Between Moore-Penrose Inverses of Hermitian Matrices and Its Application in Electrical Networks

Yujun Yang; Dayong Wang; Douglas J. Klein

doi:10.3389/fphy.2020.00239

Frontiers in Physics (Jul 2020)

A Relation Between Moore-Penrose Inverses of Hermitian Matrices and Its Application in Electrical Networks

Yujun Yang,
Dayong Wang,
Douglas J. Klein

Affiliations

Yujun Yang: School of Mathematics and Information Sciences, Yantai University, Yantai, China
Dayong Wang: Business School, Hohai University, Nanjing, China
Douglas J. Klein: Department of Marine Sciences, Texas A&M University at Galveston, Galveston, TX, United States

DOI: https://doi.org/10.3389/fphy.2020.00239
Journal volume & issue: Vol. 8

Abstract

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A novel relation between the Moore-Penrose inverses of two nullity-1 n × n Hermitian matrices which share a common null eigenvector is established, and its application in electrical networks is illustrated by applying the result to Laplacian matrices of graphs.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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