Announcement iconContinuing Accepting Applications for Admission !!
for the Spring Semester of the Academic Year 2019/2020

Involutions and Generalized Centrosymmetric and Skew-centrosymmetric Matrices

Authors: 
Iyad T. Abu-Jeib
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: