A Note on NIEP for Leslie and Doubly Leslie Matrices
The nonnegative inverse eigenvalue problem (NIEP) consists of finding necessary and sufficient conditions for the existence of a nonnegative matrix with a given list of complex numbers as its spectrum. If the matrix is required to be Leslie (doubly Leslie), the problem is called the Leslie (doubly L...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-04-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/4/559 |
| _version_ | 1797570969648234496 |
|---|---|
| author | Luis Medina Hans Nina Elvis Valero |
| author_facet | Luis Medina Hans Nina Elvis Valero |
| author_sort | Luis Medina |
| collection | DOAJ |
| description | The nonnegative inverse eigenvalue problem (NIEP) consists of finding necessary and sufficient conditions for the existence of a nonnegative matrix with a given list of complex numbers as its spectrum. If the matrix is required to be Leslie (doubly Leslie), the problem is called the Leslie (doubly Leslie) nonnegative eigenvalue inverse problem. In this paper, necessary and/or sufficient conditions for the existence and construction of Leslie and doubly Leslie matrices with a given spectrum are considered. |
| first_indexed | 2024-03-10T20:33:00Z |
| format | Article |
| id | doaj.art-790be4c4782f4de0b21458e7f42e9005 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T20:33:00Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-790be4c4782f4de0b21458e7f42e90052023-11-19T21:15:25ZengMDPI AGMathematics2227-73902020-04-018455910.3390/math8040559A Note on NIEP for Leslie and Doubly Leslie MatricesLuis Medina0Hans Nina1Elvis Valero2Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, ChileDepartamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, ChileDepartamento de Matemática, Universidad de Tarapacá, Arica 1000000, ChileThe nonnegative inverse eigenvalue problem (NIEP) consists of finding necessary and sufficient conditions for the existence of a nonnegative matrix with a given list of complex numbers as its spectrum. If the matrix is required to be Leslie (doubly Leslie), the problem is called the Leslie (doubly Leslie) nonnegative eigenvalue inverse problem. In this paper, necessary and/or sufficient conditions for the existence and construction of Leslie and doubly Leslie matrices with a given spectrum are considered.https://www.mdpi.com/2227-7390/8/4/559Leslie matricesdoubly Leslie matricesnonnegative inverse eigenvalue problem |
| spellingShingle | Luis Medina Hans Nina Elvis Valero A Note on NIEP for Leslie and Doubly Leslie Matrices Mathematics Leslie matrices doubly Leslie matrices nonnegative inverse eigenvalue problem |
| title | A Note on NIEP for Leslie and Doubly Leslie Matrices |
| title_full | A Note on NIEP for Leslie and Doubly Leslie Matrices |
| title_fullStr | A Note on NIEP for Leslie and Doubly Leslie Matrices |
| title_full_unstemmed | A Note on NIEP for Leslie and Doubly Leslie Matrices |
| title_short | A Note on NIEP for Leslie and Doubly Leslie Matrices |
| title_sort | note on niep for leslie and doubly leslie matrices |
| topic | Leslie matrices doubly Leslie matrices nonnegative inverse eigenvalue problem |
| url | https://www.mdpi.com/2227-7390/8/4/559 |
| work_keys_str_mv | AT luismedina anoteonniepforleslieanddoublylesliematrices AT hansnina anoteonniepforleslieanddoublylesliematrices AT elvisvalero anoteonniepforleslieanddoublylesliematrices AT luismedina noteonniepforleslieanddoublylesliematrices AT hansnina noteonniepforleslieanddoublylesliematrices AT elvisvalero noteonniepforleslieanddoublylesliematrices |