A note on backward errors for Toeplitz systems
Xinguo Liu, Chaoxian Chen · Numerical Linear Algebra with Applications · 2007
Abstract 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 © 2007 John Wiley & Sons, Ltd.