An explicit formula for the inverse of a pentadiagonal Toeplitz matrix

被引：18

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

页码：12 / 18

页数：7

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