Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem
The real nonnegative inverse eigenvalue problem (RNIEP) asks for necessary and sufficient conditions in order that a list of real numbers be the spectrum of a nonnegative real matrix. A number of sufficient conditions for the existence of such a matrix are known. The authors gave in [11] a map of su...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-12-01
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| Series: | Special Matrices |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/spma-2019-0018 |
| _version_ | 1818692930188083200 |
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| author | Marijuán C. Pisonero M. Soto Ricardo L. |
| author_facet | Marijuán C. Pisonero M. Soto Ricardo L. |
| author_sort | Marijuán C. |
| collection | DOAJ |
| description | The real nonnegative inverse eigenvalue problem (RNIEP) asks for necessary and sufficient conditions in order that a list of real numbers be the spectrum of a nonnegative real matrix. A number of sufficient conditions for the existence of such a matrix are known. The authors gave in [11] a map of sufficient conditions establishing inclusion relations or independency relations between them. Since then new sufficient conditions for the RNIEP have appeared. In this paper we complete and update the map given in [11]. |
| first_indexed | 2024-12-17T13:05:36Z |
| format | Article |
| id | doaj.art-0f95f7cb5e9f4c53863e8ab4735b9031 |
| institution | Directory Open Access Journal |
| issn | 2300-7451 |
| language | English |
| last_indexed | 2024-12-17T13:05:36Z |
| publishDate | 2019-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Special Matrices |
| spelling | doaj.art-0f95f7cb5e9f4c53863e8ab4735b90312022-12-21T21:47:15ZengDe GruyterSpecial Matrices2300-74512019-12-017124625610.1515/spma-2019-0018spma-2019-0018Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problemMarijuán C.0Pisonero M.1Soto Ricardo L.2Dpto. Matemática Aplicada, E.T.S.I. Informática, Paseo de Belén 15, 47011-Valladolid, SpainDpto. Matemática Aplicada, E.T.S. de Arquitectura, Avenida de Salamanca 18, 47014-Valladolid, SpainDpto. de Matemáticas, Universidad Católica del Norte, Antofagasta, ChileThe real nonnegative inverse eigenvalue problem (RNIEP) asks for necessary and sufficient conditions in order that a list of real numbers be the spectrum of a nonnegative real matrix. A number of sufficient conditions for the existence of such a matrix are known. The authors gave in [11] a map of sufficient conditions establishing inclusion relations or independency relations between them. Since then new sufficient conditions for the RNIEP have appeared. In this paper we complete and update the map given in [11].https://doi.org/10.1515/spma-2019-0018real nonnegative inverse eigenvalue problemsufficient conditionsnonnegative matrices15a2915a1815b51 |
| spellingShingle | Marijuán C. Pisonero M. Soto Ricardo L. Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem Special Matrices real nonnegative inverse eigenvalue problem sufficient conditions nonnegative matrices 15a29 15a18 15b51 |
| title | Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem |
| title_full | Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem |
| title_fullStr | Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem |
| title_full_unstemmed | Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem |
| title_short | Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem |
| title_sort | updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem |
| topic | real nonnegative inverse eigenvalue problem sufficient conditions nonnegative matrices 15a29 15a18 15b51 |
| url | https://doi.org/10.1515/spma-2019-0018 |
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