Authors
Iyad T. Abu-Jeib
Pages From
26
Pages To
34
Journal Name
Missouri J. Math. Sci.
Volume
17
Issue
1
Keywords
Counteridentity, exchange matrix, flip matrix, anti-identity, eigenvalue, eigenvector, persymmetric, centrosymmetric, skew-centrosymmetric, skew-symmetric, rank-one, diagonal matrix.
Abstract
We make a comparison between the identity matrix and the counteridentity matrix by
studying the eigensystem of $J+M$, where $J$ is the counteridentity
matrix and $M$ is a structured matrix, with the goal of expressing
this system entirely in terms of the corresponding eigensystem of
$M$. Also, properties of
some parametric families of the form $J+\rho M$ are studied.