Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows

Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows

In this paper, four-band Toeplitz matrices and four-band Hankel matrices of type I and type II with perturbed rows are introduced. Explicit determinants, inverses and eigenvalues for these matrices are derived by using a nice inverse formula of block bidiagonal Toeplitz matrices.

Bibliographic Details
Main Authors: Zhang Maoyun, Jiang Xiaoyu, Jiang Zhaolin
Format: Article
Language:English
Published: De Gruyter 2019-05-01
Series:Special Matrices
Subjects:
perturbed toeplitz four band matrix
perturbed hankel four band matrix
determinant
inverse
eigenvalues
primary 15b05; 15a15
secondary 11b39
Online Access:https://doi.org/10.1515/spma-2019-0004

Internet

https://doi.org/10.1515/spma-2019-0004

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