| dc.creator | Alfaro, Jaime H. | |
| dc.creator | Soto, Ricardo L. | |
| dc.date | 2023-09-13 | |
| dc.date.accessioned | 2023-09-22T12:43:16Z | |
| dc.date.available | 2023-09-22T12:43:16Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/6058 | |
| dc.identifier | 10.22199/issn.0717-6279-6058 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/234466 | |
| dc.description | A list Λ = {λ1, λ2,..., λn} of complex numbers is said to be realizable if it is the spectrum of a nonnegative matrix. Λ is said to be universally realizable (UR) if it is realizable for each possible Jordan canonical form allowed by Λ. In this paper, using companion matrices and applying a procedure by Šmigoc, we provide sufficient conditions for the universal realizability of left half-plane spectra, that is, spectra Λ = {λ1,...,λn} with λ1 > 0, Re λi ≤ 0, i = 2, . . . , n. It is also shown how the effect of adding a negative real number to a not UR left half-plane list of complex numbers, makes the new list UR, and a family of left half-plane lists that are UR is characterized. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/6058/4376 | |
| dc.rights | Copyright (c) 2023 Jaime H. Alfaro, Ricardo L. Soto | en-US |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 42 No. 5 (2023); 1373-1390 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 42 Núm. 5 (2023); 1373-1390 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2023-05 | |
| dc.subject | nonnegative matrix | en-US |
| dc.subject | companion matrix | en-US |
| dc.subject | universal realizability | en-US |
| dc.subject | Šmigoc’s glue | en-US |
| dc.subject | 15A18 | en-US |
| dc.subject | 15A20 | en-US |
| dc.subject | 15A29 | en-US |
| dc.title | On universal realizability in the left half-plane | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | text | en-US |
