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...
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SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/847357 |
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doaj-6c14a66a87aa418bac58c0c105baec282020-11-24T23:28:20ZengSpringerOpenJournal 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Li Hou-Biao Huang Ting-Zhu Li Hong |
| spellingShingle |
Li Hou-Biao Huang Ting-Zhu Li Hong Some New Results on Determinantal Inequalities and Applications Journal of Inequalities and Applications |
| author_facet |
Li Hou-Biao Huang Ting-Zhu Li Hong |
| author_sort |
Li Hou-Biao |
| title |
Some New Results on Determinantal Inequalities and Applications |
| title_short |
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_sort |
some new results on determinantal inequalities and applications |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| 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> |
| url |
http://www.journalofinequalitiesandapplications.com/content/2010/847357 |
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AT lihoubiao somenewresultsondeterminantalinequalitiesandapplications AT huangtingzhu somenewresultsondeterminantalinequalitiesandapplications AT lihong somenewresultsondeterminantalinequalitiesandapplications |
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