On Some Algebraic Properties of Block Toeplitz Matrices with Commuting Entries
Muhammad Ahsan Khan, Ameur Yagoub
TL;DR
This paper explores algebraic properties of block Toeplitz matrices with entries from a commutative algebra, including their normality characterization, contributing to the theoretical understanding of these matrices in mathematics.
Contribution
It provides new algebraic results and characterizations for block Toeplitz matrices with commuting entries, expanding the theoretical framework.
Findings
Characterization of normal block Toeplitz matrices
Algebraic properties of block Toeplitz matrices with commutative entries
Enhanced understanding of Toeplitz matrix structures
Abstract
Toeplitz matrices are ubiquitous and play important roles across many areas of mathematics. In this paper, we present some algebraic results concerning block Toeplitz matrices with block entries belonging to a commutative algebra . The characterization of normal block Toeplitz matrices with entries from is also obtained.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · graph theory and CDMA systems