Journal Name:
Can. Appl. Math. Q.
Volume:
15
Issue:
1
Pages From:
1
To:
10
Date:
Monday, January 1, 2007
Keywords:
involutory matrix, generalized skew-centrosymmetric, generalized centrosymmetric, $K$-symmetric, $K$-skew-symmetric, skew-symmetric, rank-one
Abstract:
We present new results and simple short proofs for known theorems about generalized
centrosymmetric matrices and generalized skew-centrosymmetric (centroskew) matrices. We also
make a comparison between the identity matrix and a nontrivial involutory matrix $K$
by
studying the eigensystem of $K+M$, where $M$ 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 $K+\rho M$ are studied.
Attachments:
