A Study of Determinants and Inverses for Periodic Tridiagonal Toeplitz Matrices with Perturbed Corners Involving Mersenne Numbers

In this paper, we study periodic tridiagonal Toeplitz matrices with perturbed corners. By using some matrix transformations, the Schur complement and matrix decompositions techniques, as well as the Sherman-Morrison-Woodbury formula, we derive explicit determinants and inverses of these matrices. On...

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Bibliographic Details
Main Authors: Yunlan Wei, Yanpeng Zheng, Zhaolin Jiang, Sugoog Shon
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/10/893