| Autor: |
Johnson Charles R., Reams Robert B. |
| Jazyk: |
angličtina |
| Rok vydání: |
2016 |
| Předmět: |
|
| Zdroj: |
Special Matrices, Vol 4, Iss 1 (2016) |
| Druh dokumentu: |
article |
| ISSN: |
2300-7451 |
| DOI: |
10.1515/spma-2016-0007 |
| Popis: |
A copositive matrix A is said to be exceptional if it is not the sum of a positive semidefinite matrix and a nonnegative matrix. We show that with certain assumptions on A−1, especially on the diagonal entries, we can guarantee that a copositive matrix A is exceptional. We also show that the only 5-by-5 exceptional matrix with a hollow nonnegative inverse is the Horn matrix (up to positive diagonal congruence and permutation similarity). |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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