Block Toeplitz Matrices: Multiplicative Properties
Muhammad Ahsan Khan
TL;DR
This paper explores the algebraic properties of block Toeplitz matrices, focusing on their multiplicative behavior and characterizations of normal matrices with diagonal entries, contributing to the theoretical understanding of these structured matrices.
Contribution
It provides new results on the product of block Toeplitz matrices and characterizes normal block Toeplitz matrices with diagonal entries, enhancing the theoretical framework.
Findings
Proved basic properties of the product AB - CD for block Toeplitz matrices.
Characterized normal block Toeplitz matrices with diagonal entries under change of basis.
Extended understanding of the algebraic structure of block Toeplitz matrices.
Abstract
Given and block Toeplitz matrices, we will prove some of the basic results concerning the product . In addition, with respect to change of basis, the characterization of normal block Toeplitz matrices with entries in the algebra of diagonal matrices is also obtained.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · graph theory and CDMA systems