Quaternion Toeplitz matrices and their fundamental properties
Functional Analysis
2025-10-07 v1
Abstract
Toeplitz matrices are characterized by their constant diagonals, have been extensively studied in various settings, including over real and complex numbers. However, their study over quaternions is quite sparse. In this paper, we investigate the structure and the algebraic properties of quaternion Toeplitz matrices. Most importantly, we established a complete characterization of all normal Toeplitz matrices having entries commutative quaternions.
Keywords
Cite
@article{arxiv.2510.04297,
title = {Quaternion Toeplitz matrices and their fundamental properties},
author = {Muhammad Ahsan Khan and Sohail Khan},
journal= {arXiv preprint arXiv:2510.04297},
year = {2025}
}
Comments
Accepted for Publication in FILOMAT