Analysis of matrices of pseudo-differential operators with separable symbols on ZN

被引：0
|
作者：
Guo, Qiang [1 ]
Wong, M. W. [1 ]
机构：
[1] York Univ, Dept Math & Stat, 4700 Keele St, Toronto, ON M3J 1P3, Canada
来源：
JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2016年 / 7卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Fourier transform; Fourier inversion formula; Fast Fourier transform; Pseudo-differential operator; Matrix representation; Circulant matrix; Fourier matrix; Determinant; Condition number; Computational complexity;
D O I：
10.1007/s11868-016-0155-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give the determinants and upper bounds for the condition numbers of matrices of pseudo-differential operators T-sigma on Z(N) with separable symbols sigma on Z(N) x Z(N). For a time series z of size N, we give the computational complexity of T-sigma z. Numerical experiments are also given.
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页码：249 / 259
页数：11
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