New sufficient conditions for the unique solution of a square Sylvester-like absolute value equation
type: Item
instance of: scholarly article
title: New sufficient conditions for the unique solution of a square Sylvester-like absolute value equation
zbMATH Open document ID: 1472.15023
author: Yanyan Li
published in: Applied Mathematics Letters
publication date: 2021-04-27T00:00:00Z
review text: Assume that \(A, C\in\mathbb{R}^{m\times m}\), \(B, D\in\mathbb{R}^{n\times n}\) and \(F\in\mathbb{R}^{m\times n}\) are matrices and \(X\in\mathbb{R}^{m\times n}\) is an unknown matrix. The Sylvester-like absolute valued equation reads \[ AXB+C|X|D=F\,. \] Here, the authors give two sufficient conditions for the existence of a unique solution of the above equation. Some special cases are also considered.
reviewed by: Ali Morassaei
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 7339709
zbMATH Keywords: Sylvester-like absolute value equation
zbMATH Keywords: unique solution
zbMATH Keywords: sufficient condition
MaRDI profile type: Publication
full work available at URL: j.aml.2020.106966
OpenAlex ID: W3118040012
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DOI: 10.1016/J.AML.2020.106966
description: scientific article; zbMATH DE number 7339709