New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation
<p/> <p>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 equ...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2009/620758 |
| _version_ | 1828832292264476672 |
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| author | Liu Jianzhou Zhang Juan |
| author_facet | Liu Jianzhou Zhang Juan |
| author_sort | Liu Jianzhou |
| collection | DOAJ |
| description | <p/> <p>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.</p> |
| first_indexed | 2024-12-12T16:51:16Z |
| format | Article |
| id | doaj.art-01978edfd9924f65bfa73880b1e23fd7 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-12T16:51:16Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-01978edfd9924f65bfa73880b1e23fd72022-12-22T00:18:22ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-0120091620758New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati EquationLiu JianzhouZhang Juan<p/> <p>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.</p>http://www.journalofinequalitiesandapplications.com/content/2009/620758 |
| spellingShingle | Liu Jianzhou Zhang Juan New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation Journal of Inequalities and Applications |
| title | New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation |
| title_full | New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation |
| title_fullStr | New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation |
| title_full_unstemmed | New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation |
| title_short | New Trace Bounds for the Product of Two Matrices and Their Applications in the Algebraic Riccati Equation |
| title_sort | new trace bounds for the product of two matrices and their applications in the algebraic riccati equation |
| url | http://www.journalofinequalitiesandapplications.com/content/2009/620758 |
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