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

被引：0
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作者：
Jianzhou Liu
Juan Zhang
Yu Liu
机构：
[1] Hanshan Normal University,Department of Mathematic Science and Information Technology
[2] Xiangtan University,Department of Mathematics and Computational Science
来源：
Journal of Inequalities and Applications | / 2009卷
关键词：
System Matrice; Unit Sphere; Matrix Product; Riccati Equation; Symmetric Case;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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