An explicit formula for the inverse of a pentadiagonal Toeplitz matrix

作者：Wang Chaojie; Li Hongyi; Zhao Di^*

来源：Journal of Computational and Applied Mathematics, 2015, 278: 12-18.

DOI：10.1016/j.cam.2014.08.010

• Inverse
• Pentadiagonal matrix
• Toeplitz matrix
• Factorization
• Sherman-Morrison-Woodbury inversion

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.

• 出版日期2015-4-15
• 单位北京航空航天大学