Explicit inversion of Band Toeplitz matrices by discrete Fourier transform

被引：3
|
作者：
Elouafi, Mohamed [1 ]
机构：
[1] Lycee Moulay Alhassan, Classes Preparatoites Grandes Ecoles Ingn, Tangier, Morocco
来源：
LINEAR & MULTILINEAR ALGEBRA | 2018年 / 66卷 / 09期
关键词：
Toeplitz determinant; discrete Fourier transform; vandermonde determinants; symmetric elementary functions; DETERMINANTS; FORMULA;
D O I：
10.1080/03081087.2017.1373729
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give an explicit formula for the p, q element of the inverse T -1 n, where Tn is a band Toeplitz matrix with left bandwidth s and right bandwidth r. The formula involves d x d determinants, d = r, r + 1, whose elements are the discrete Fourier transform of 1f, where f is the symbol of T-n.
引用
收藏
页码：1767 / 1782
页数：16
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