Some New Results on Determinantal Inequalities and Applications
<p/> <p>Some new upper and lower bounds on determinants are presented for diagonally dominant matrices and general <inline-formula> <graphic file="1029-242X-2010-847357-i1.gif"/></inline-formula>-matrices by using different methods. These bounds are some impro...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/847357 |
| _version_ | 1818131132947890176 |
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| author | Li Hou-Biao Huang Ting-Zhu Li Hong |
| author_facet | Li Hou-Biao Huang Ting-Zhu Li Hong |
| author_sort | Li Hou-Biao |
| collection | DOAJ |
| description | <p/> <p>Some new upper and lower bounds on determinants are presented for diagonally dominant matrices and general <inline-formula> <graphic file="1029-242X-2010-847357-i1.gif"/></inline-formula>-matrices by using different methods. These bounds are some improvements of results given by Ostrowski (1952) and (1937), Price (1951), Wang and Zhang (2002), Huang and Liu (2005), and so forth. In addition, these bounds are also used to localize some numerical characters (e.g., the minimum eigenvalues, singular values and condition numbers) of certain matrices.</p> |
| first_indexed | 2024-12-11T08:16:05Z |
| format | Article |
| id | doaj.art-6c14a66a87aa418bac58c0c105baec28 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-11T08:16:05Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-6c14a66a87aa418bac58c0c105baec282022-12-22T01:14:46ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101847357Some New Results on Determinantal Inequalities and ApplicationsLi Hou-BiaoHuang Ting-ZhuLi Hong<p/> <p>Some new upper and lower bounds on determinants are presented for diagonally dominant matrices and general <inline-formula> <graphic file="1029-242X-2010-847357-i1.gif"/></inline-formula>-matrices by using different methods. These bounds are some improvements of results given by Ostrowski (1952) and (1937), Price (1951), Wang and Zhang (2002), Huang and Liu (2005), and so forth. In addition, these bounds are also used to localize some numerical characters (e.g., the minimum eigenvalues, singular values and condition numbers) of certain matrices.</p>http://www.journalofinequalitiesandapplications.com/content/2010/847357 |
| spellingShingle | Li Hou-Biao Huang Ting-Zhu Li Hong Some New Results on Determinantal Inequalities and Applications Journal of Inequalities and Applications |
| title | Some New Results on Determinantal Inequalities and Applications |
| title_full | Some New Results on Determinantal Inequalities and Applications |
| title_fullStr | Some New Results on Determinantal Inequalities and Applications |
| title_full_unstemmed | Some New Results on Determinantal Inequalities and Applications |
| title_short | Some New Results on Determinantal Inequalities and Applications |
| title_sort | some new results on determinantal inequalities and applications |
| url | http://www.journalofinequalitiesandapplications.com/content/2010/847357 |
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