Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations

Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations

<p/> <p>By using diagonalizable matrix decomposition and majorization inequalities, we propose new trace bounds for the product of two real square matrices in which one is diagonalizable. These bounds improve and extend the previous results. Furthermore, we give some trace bounds for the...

Full description

Bibliographic Details
Main Authors: Zhang Juan, Liu Jianzhou, Liu Yu
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2009/101085
id doaj-edbc416eded146fe9d268f603bb6000b
record_format Article
spelling doaj-edbc416eded146fe9d268f603bb6000b2020-11-24T21:53:01ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091101085Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati EquationsZhang JuanLiu JianzhouLiu Yu<p/> <p>By using diagonalizable matrix decomposition and majorization inequalities, we propose new trace bounds for the product of two real square matrices in which one is diagonalizable. These bounds improve and extend the previous results. Furthermore, we give some trace bounds for the solution of the algebraic Riccati equations, which improve some of the previous results under certain conditions. Finally, numerical examples have illustrated that our results are effective and superior.</p>http://www.journalofinequalitiesandapplications.com/content/2009/101085
collection DOAJ
language English
format Article
sources DOAJ
author Zhang Juan
Liu Jianzhou
Liu Yu
spellingShingle Zhang Juan
Liu Jianzhou
Liu Yu
Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations
Journal of Inequalities and Applications
author_facet Zhang Juan
Liu Jianzhou
Liu Yu
author_sort Zhang Juan
title Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations
title_short Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations
title_full Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations
title_fullStr Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations
title_full_unstemmed Trace Inequalities for Matrix Products and Trace Bounds for the Solution of the Algebraic Riccati Equations
title_sort trace inequalities for matrix products and trace bounds for the solution of the algebraic riccati equations
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2009-01-01
description <p/> <p>By using diagonalizable matrix decomposition and majorization inequalities, we propose new trace bounds for the product of two real square matrices in which one is diagonalizable. These bounds improve and extend the previous results. Furthermore, we give some trace bounds for the solution of the algebraic Riccati equations, which improve some of the previous results under certain conditions. Finally, numerical examples have illustrated that our results are effective and superior.</p>
url http://www.journalofinequalitiesandapplications.com/content/2009/101085
work_keys_str_mv AT zhangjuan traceinequalitiesformatrixproductsandtraceboundsforthesolutionofthealgebraicriccatiequations
AT liujianzhou traceinequalitiesformatrixproductsandtraceboundsforthesolutionofthealgebraicriccatiequations
AT liuyu traceinequalitiesformatrixproductsandtraceboundsforthesolutionofthealgebraicriccatiequations
_version_ 1725873456198713344

Similar Items