Inversion of k-tridiagonal matrices with Toeplitz structure

Authors:
Jiteng Jia;Tomohiro Sogabe;Moawwad El-Mikkawy
Affiliations:
-;-;-
Venue:
Computers & Mathematics with Applications
Year:
2013

Citing 3
Cited 0

Matrix analysis and applied linear algebra

Matrix analysis and applied linear algebra
Explicit inverse of a tridiagonal k−Toeplitz matrix

Numerische Mathematik
On some tridiagonal k-Toeplitz matrices: Algebraic and analytical aspects. Applications

Journal of Computational and Applied Mathematics

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Abstract

In this paper, we consider an inverse problem with the k-tridiagonal Toeplitz matrices. A theoretical result is obtained that under certain assumptions the explicit inverse of a k-tridiagonal Toeplitz matrix can be derived immediately. Two numerical examples are given to demonstrate the validity of our results.