A note on computing the inverse and the determinant of a pentadiagonal toeplitz matrix in signal processing

被引：0

作者：

Liu, Xueting ^{[1
]}

Wang, Youquan ^{[2
]}

机构：

[1] School of Electrical and Electronic Engineering, Shandong University of Technology, Zibo, 255049, Shandong

[2] Department of Mechanical and Electrical Engineering, Jining Polytechnic, Jining, 272037, Shandong

来源：

Information Technology Journal | 2013年 / 12卷 / 21期

基金：

中国国家自然科学基金;

关键词：

Determinant; Fast algorithm; Inverse; Lyapunov stability toeplitz matrix; Pentadiagonal;

D O I：

10.3923/itj.2013.6320.6324

中图分类号：

学科分类号：

摘要：

Pentadiagonal Toeplitz systems of linear equations arise in many application areas and have been well studied over the past years, the invertibility of nonsingular pentadiagonal Toeplitz matrices has been quitely investigated in different fields of applied linear algebra. In this study, we provide a necessary and sufficient condition on which pentadiagonal Toeplitz matrix, present an algorithm for calculating the determinant of a pentadiagonal Toeplitz matrix and propose a fast algorithm for computing the inverse of a pentadiagonal Toeplitz matrix. © 2013 Asian Network for Scientific Information.

引用

页码：6320 / 6324

页数：4

共 6 条

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