Block Toeplitz Matrices: Multiplicative Properties

Authors

  • Muhammad Ahsan Khan Department of Mathematics , University of Kotli, Azad Jammu and Kashmir, Pakistan.

DOI:

https://doi.org/10.11113/matematika.v39.n1.1437

Abstract

Given A, B, C, and D, block Toeplitz matrices, we will prove the necessary and sufficient condition for AB - CD = 0, and AB - CD to be a block Toeplitz matrix. In addition, with respect to change of basis, the characterization of normal block Toeplitz matrices with entries from the algebra of diagonal matrices is also obtained.

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Published

15-04-2023

How to Cite

Khan, M. A. (2023). Block Toeplitz Matrices: Multiplicative Properties. MATEMATIKA, 39(1), 101–112. https://doi.org/10.11113/matematika.v39.n1.1437

Issue

Volume 39 (April 2023)

Section

Articles

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