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

Issue

Volume 39 (April 2023)

Section

Articles

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

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