Sensitivity analysis of the matrix equation from interpolation problems
type: Item
instance of: scholarly article
title: Sensitivity analysis of the matrix equation from interpolation problems
zbMATH Open document ID: 1397.15009
DOI: 10.1155/2013/518269
author: Jing Li
author: Yuhai Zhang
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: This paper studies the sensitivity analysis of a nonlinear matrix equation connected to interpolation problems. The backward error estimates of an approximate solution to the equation are derived. A residual bound of an approximate solution to the equation is obtained. A perturbation bound for the unique solution to the equation is evaluated. This perturbation bound is independent of the exact solution of this equation. The theoretical results are illustrated by numerical examples.
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 6950722
Wikidata QID: Q59002761
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/518269
OpenAlex ID: W2108910811
DBLP publication ID: journals/jam/LiZ13d
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description: scientific article; zbMATH DE number 6950722