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

Authors :
Yujun Yang
Dayong Wang
Douglas J. Klein
Source :
Frontiers in Physics, Vol 8 (2020)
Publication Year :
2020
Publisher :
Frontiers Media S.A., 2020.

Abstract

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.

Details

Language :
English
ISSN :
2296424X
Volume :
8
Database :
Directory of Open Access Journals
Journal :
Frontiers in Physics
Publication Type :
Academic Journal
Accession number :
edsdoj.ba3abfa217e470fa1df4c66017c84a0
Document Type :
article
Full Text :
https://doi.org/10.3389/fphy.2020.00239