On Hermitian positive definite solution of the matrix equation \(X-\sum _{i=1}^mA_i^*X^r A_i = Q\)
type: Item
instance of: scholarly article
title: On Hermitian positive definite solution of the matrix equation \(X-\sum _{i=1}^mA_i^*X^r A_i = Q\)
zbMATH Open document ID: 1170.15005
author: Xuefeng Duan
author: Anping Liao
published in: Journal of Computational and Applied Mathematics
publication date: 2009-06-11T00:00:00Z
review text: It is proved that the nonlinear matrix equation \(X-\sum _{i=1}^mA_i^*X^r A_i = Q(-1\leq r < 0\) or \(0< r<1)\) always has a unique Hermitian positive definite solution. Some bounds of the unique Hermitian positive definite solution are also given.
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 5564241
zbMATH Keywords: nonlinear matrix equation
zbMATH Keywords: Hermitian positive definite solution
reviewed by: Chen Sheng
MaRDI profile type: Publication
full work available at URL: j.cam.2008.10.018
OpenAlex ID: W2048552347
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DOI: 10.1016/J.CAM.2008.10.018
description: scientific article; zbMATH DE number 5564241