An explicit formula for the inverse of a pentadiagonal Toeplitz matrix

被引：19
作者：
Wang, Chaojie [1 ]
Li, Hongyi [1 ]
Zhao, Di [1 ]
机构：
[1] Beihang Univ, Sch Math & Syst Sci, LMIB, Beijing 100191, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 278卷
基金：
中国国家自然科学基金;
关键词：
Inverse; Pentadiagonal matrix; Toeplitz matrix; Factorization; Sherman-Morrison-Woodbury inversion; BOUNDARY-VALUE METHODS; NUMERICAL RECIPES; EQUATION;
D O I：
10.1016/j.cam.2014.08.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：12 / 18
页数：7
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