Journal Name:
Missouri J. Math. Sci.
Volume:
17
Issue:
1
Pages From:
26
To:
34
Date:
Saturday, January 1, 2005
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.
Attachments:
