Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows-Reference-Cited by-同舟云学术

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

Published:2019-01-01 Issue:1 Volume:7 Page:52-66
ISSN:2300-7451
Container-title:Special Matrices
language:en
Short-container-title:

Author:

Zhang Maoyun¹,Jiang Xiaoyu²,Jiang Zhaolin¹

Affiliation:

1. School of Mathematics and Statistics , Linyi University , Linyi 276000 , P. R. China

2. School of Information Science and Technology , Linyi University , Linyi 276000 , P. R. China

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2019-0004/pdf

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