AUTHOR=Yang Yujun , Wang Dayong , Klein Douglas J. TITLE=A Relation Between Moore-Penrose Inverses of Hermitian Matrices and Its Application in Electrical Networks JOURNAL=Frontiers in Physics VOLUME=8 YEAR=2020 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.00239 DOI=10.3389/fphy.2020.00239 ISSN=2296-424X 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.