Perturbed Toeplitz Matrices and Their LU-Decompositions

Wenchang Chu, Emrah Kılıç · Mathematical Notes · 2023

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).

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