Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638796 | Journal of Computational and Applied Mathematics | 2015 | 7 Pages |
Abstract
In this paper, we mainly consider finding an explicit formula for the inverse of a pentadiagonal Toeplitz matrix. For that purpose, we first factorize the modified form of a pentadiagonal Toeplitz matrix by two tridiagonal Toeplitz matrices, and then use the Sherman–Morrison–Woodbury inversion formula. As a result, an explicit inverse of a pentadiagonal Toeplitz matrix is obtained under certain assumptions. And numerical experiments are given to show the effectiveness of our results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chaojie Wang, Hongyi Li, Di Zhao,