New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation | Zendy

Jianzhou Liu | Zendy; Juan Zhang | Zendy

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New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation

Author(s) -

Jianzhou Liu,

Juan Zhang

Publication year - 2009

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/2009/620758

Subject(s) - mathematics , trace (psycholinguistics) , algebraic riccati equation , riccati equation , product (mathematics) , algebraic number , algebra over a field , pure mathematics , mathematical analysis , differential equation , philosophy , linguistics , geometry

By using singular value decomposition and majorization inequalities, we propose new inequalities for the trace of the product of two arbitrary real square matrices. These bounds improve and extend the recent results. Further, we give their application in the algebraic Riccati equation. Finally, numerical examples have illustrated that our results are effective and superior.

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