On certain decompositions of complex inverse Toeplitz matrices and related fast algorithms for solving linear systems with Toeplitz coefficient matrices

被引：0

作者：

V. I. Gel’fgat

机构：

[1] Russian Academy of Sciences,Andreev Institute of Acoustics

来源：

Computational Mathematics and Mathematical Physics | 2013年 / 53卷

关键词：

matrices; Toeplitz matrices; circulants; skew-circulants; spectral decomposition; Toeplitz decomposition; Toeplitz rank; economical numerical algorithms;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Formulas for inverting nonsingular Toeplitz matrices with complex entries are derived. These formulas either refine known ones or are new. They make it possible to develop economical algorithms for calculating products of inverse Toeplitz matrices with vectors.

引用

页码：1057 / 1061

页数：4