A note on backward errors for Toeplitz systems

被引：1
|
作者：
Liu, Xinguo [1 ]
Chen, Chaoxian [1 ]
机构：
[1] Ocean Univ China, Dept Math, Qingdao 266071, Peoples R China
来源：
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS | 2007年 / 14卷 / 07期
关键词：
backward error; structured backward error; Toeplitz system;
D O I：
10.1002/nla.539
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the relations between the structured backward error (SBE) and the partial structured backward error (P-SBE), and the partial backward error (P-BE) and the P-SBE for a computed solution to general Toeplitz system. In particular, we show in some cases the P-SBE for general Toeplitz system is usually a good estimate of the SBE. Copyright (c) 2007 John Wiley & Sons, Ltd.
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页码：547 / 562
页数：16
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