Wenchang Chu, Emrah Kiliç, “Perturbed Toeplitz Matrices and Their LU-Decompositions”, Mat. Zametki, 2023, Volume 113, Issue 1,Pages <nobr>39

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Papers published in the English version of the journal

Perturbed Toeplitz Matrices and Their LU-Decompositions

Wenchang Chu^ab, Emrah Kiliç^c

^a Zhoukou Normal University, Zhoukou (Henan), 466001 P. R. China
^b Department of Mathematics and Physics, University of Salento, Lecce, 73100 Italy
^c TOBB University of Economics and Technology, Ankara, 06560 Turkey

Abstract: Two tetradiagonal Toeplitz matrices perturbed by a $2\times2$ matrix at the upper right corner are examined. Their LU-decompositions are explicitly given. As a consequence, their determinant evaluations confirm the conjectured determinant values of two numerical matrices made recently by Andelić and Fonseca (2020).

Keywords: Toeplitz matrix, tetradiagonal matrix, LU-decomposition, determinant.

Received: 29.01.2022
Revised: 05.10.2022

Language: English