Positive definite solutions of some matrix equations
type: Item
instance of: scholarly article
title: Positive definite solutions of some matrix equations
zbMATH Open document ID: 1154.15018
author: Aleksandar S. Cvetković
author: Gradimir V. Milovanović
published in: Linear Algebra and its Applications
publication date: 2008-11-06T00:00:00Z
review text: The authors investigate some existence questions of positive semi-definite solutions for certain classes of matrix equations known as the generalized Lyapunov equations. The authors use a simple but useful lemma (Lemma 2.1) and properties of Fourier transforms to get sufficient and necessary conditions for certain equations and only sufficient for others.
Mathematics Subject Classification ID: 15A24
Mathematics Subject Classification ID: 15B48
Mathematics Subject Classification ID: 42A82
zbMATH DE Number: 5362051
zbMATH Keywords: matrix equation
zbMATH Keywords: Lyapunov matrix equation
zbMATH Keywords: positive definite matrix
zbMATH Keywords: positive definite solution
zbMATH Keywords: Fourier transform
reviewed by: Chen Sheng
Wikidata QID: Q115058749
MaRDI profile type: Publication
full work available at URL: j.laa.2008.02.001
OpenAlex ID: W2128162307
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cites work: Q5667036
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DOI: 10.1016/J.LAA.2008.02.001
description: scientific article; zbMATH DE number 5362051