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

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.

Keywords

• perturbed toeplitz four band matrix
• perturbed hankel four band matrix
• determinant
• inverse
• eigenvalues
• primary 15b05; 15a15
• secondary 11b39