A counterexample to the Drury permanent conjecture
We offer a counterexample to a conjecture concerning the permanent of positive semidefinite matrices. The counterexample is a 4 × 4 complex correlation matrix.
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2017-11-01
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| Series: | Special Matrices |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/spma-2017-0022 |
| _version_ | 1819151325128032256 |
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| author | Hutchinson George |
| author_facet | Hutchinson George |
| author_sort | Hutchinson George |
| collection | DOAJ |
| description | We offer a counterexample to a conjecture concerning the permanent of positive semidefinite matrices. The counterexample is a 4 × 4 complex correlation matrix. |
| first_indexed | 2024-12-22T14:31:36Z |
| format | Article |
| id | doaj.art-c23cd27ca8374016b2cecacd93e5672b |
| institution | Directory Open Access Journal |
| issn | 2300-7451 |
| language | English |
| last_indexed | 2024-12-22T14:31:36Z |
| publishDate | 2017-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Special Matrices |
| spelling | doaj.art-c23cd27ca8374016b2cecacd93e5672b2022-12-21T18:22:45ZengDe GruyterSpecial Matrices2300-74512017-11-015130130210.1515/spma-2017-0022spma-2017-0022A counterexample to the Drury permanent conjectureHutchinson George0Department of Mathematics & Statistics, University of Guelph, Guelph, ON, Canada N1G 2W1 We offer a counterexample to a conjecture concerning the permanent of positive semidefinite matrices. The counterexample is a 4 × 4 complex correlation matrix.https://doi.org/10.1515/spma-2017-0022positive semidefinite matricesmatrix permanent15a1515b48 |
| spellingShingle | Hutchinson George A counterexample to the Drury permanent conjecture Special Matrices positive semidefinite matrices matrix permanent 15a15 15b48 |
| title | A counterexample to the Drury permanent conjecture |
| title_full | A counterexample to the Drury permanent conjecture |
| title_fullStr | A counterexample to the Drury permanent conjecture |
| title_full_unstemmed | A counterexample to the Drury permanent conjecture |
| title_short | A counterexample to the Drury permanent conjecture |
| title_sort | counterexample to the drury permanent conjecture |
| topic | positive semidefinite matrices matrix permanent 15a15 15b48 |
| url | https://doi.org/10.1515/spma-2017-0022 |
| work_keys_str_mv | AT hutchinsongeorge acounterexampletothedrurypermanentconjecture AT hutchinsongeorge counterexampletothedrurypermanentconjecture |