Perturbation analysis for the positive definite solution of the nonlinear matrix equation \(X-\sum_{i=1}^{m}A^{*}_{i}X^{\delta_{i}}A_{i}=Q\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1250.15020
author: Qing-Wen Wang
author: Xuefeng Duan
author: Chunmei Li
publication date: 2012-06-11T00:00:00Z
full work available at URL: http://www.kcam.biz/contents/table_contents_view.php
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 6044961
zbMATH Keywords: nonlinear matrix equation
zbMATH Keywords: positive definite solution
zbMATH Keywords: perturbation estimate
zbMATH Keywords: spectral norm
zbMATH Keywords: Thomson metric
MaRDI profile type: Publication
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title: Perturbation analysis for the positive definite solution of the nonlinear matrix equation \(X-\sum_{i=1}^{m}A^{*}_{i}X^{\delta_{i}}A_{i}=Q\)
published in: Journal of Applied Mathematics \& Informatics
review text: Using some properties of the spectral norm and Thomson metric, the authors present two estimates for the positive definite solution of some nonlinear matrix equation, which arises in an optimal interpolation problem.
reviewed by: Grozio Stanilov
description: scientific article; zbMATH DE number 6044961