An update on a few permanent conjectures
We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries...
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-08-01
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| Series: | Special Matrices |
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| Online Access: | http://www.degruyter.com/view/j/spma.2016.4.issue-1/spma-2016-0030/spma-2016-0030.xml?format=INT |
| _version_ | 1831680320552828928 |
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| author | Zhang Fuzhen |
| author_facet | Zhang Fuzhen |
| author_sort | Zhang Fuzhen |
| collection | DOAJ |
| description | We review and update on a few conjectures concerning matrix permanent that are easily stated,
understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb
permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries,
Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several
other conjectures. Some of these conjectures are recently settled; some are still open.We also raise a few new
questions for future study. (†conjectures have been recently settled negatively.) |
| first_indexed | 2024-12-20T05:36:20Z |
| format | Article |
| id | doaj.art-2696d1da1c214934929bb7c94f4acd9d |
| institution | Directory Open Access Journal |
| issn | 2300-7451 |
| language | English |
| last_indexed | 2024-12-20T05:36:20Z |
| publishDate | 2016-08-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Special Matrices |
| spelling | doaj.art-2696d1da1c214934929bb7c94f4acd9d2022-12-21T19:51:36ZengDe GruyterSpecial Matrices2300-74512016-08-014110.1515/spma-2016-0030spma-2016-0030An update on a few permanent conjecturesZhang Fuzhen0Department of Mathematics, Halmos College, Nova Southeastern University, 3301 College Ave, Fort Lauderdale, FL 33314, USAWe review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We also raise a few new questions for future study. (†conjectures have been recently settled negatively.)http://www.degruyter.com/view/j/spma.2016.4.issue-1/spma-2016-0030/spma-2016-0030.xml?format=INTBapat-Sunder conjecture Chollet conjecture Drury conjecture Foregger conjecture Liang-So- Zhang conjecture Lie conjecture Marcus conjecture Marcus-Minc conjecture permanent permanent dominance conjecture permanent-on-top conjecture Schur power matrix |
| spellingShingle | Zhang Fuzhen An update on a few permanent conjectures Special Matrices Bapat-Sunder conjecture Chollet conjecture Drury conjecture Foregger conjecture Liang-So- Zhang conjecture Lie conjecture Marcus conjecture Marcus-Minc conjecture permanent permanent dominance conjecture permanent-on-top conjecture Schur power matrix |
| title | An update on a few permanent conjectures |
| title_full | An update on a few permanent conjectures |
| title_fullStr | An update on a few permanent conjectures |
| title_full_unstemmed | An update on a few permanent conjectures |
| title_short | An update on a few permanent conjectures |
| title_sort | update on a few permanent conjectures |
| topic | Bapat-Sunder conjecture Chollet conjecture Drury conjecture Foregger conjecture Liang-So- Zhang conjecture Lie conjecture Marcus conjecture Marcus-Minc conjecture permanent permanent dominance conjecture permanent-on-top conjecture Schur power matrix |
| url | http://www.degruyter.com/view/j/spma.2016.4.issue-1/spma-2016-0030/spma-2016-0030.xml?format=INT |
| work_keys_str_mv | AT zhangfuzhen anupdateonafewpermanentconjectures AT zhangfuzhen updateonafewpermanentconjectures |