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

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.

Bibliographic Details
Main Authors: Yujun Yang, Dayong Wang, Douglas J. Klein
Format: Article
Language:English
Published: Frontiers Media S.A. 2020-07-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/article/10.3389/fphy.2020.00239/full