A Note on NIEP for Leslie and Doubly Leslie Matrices

Luis Medina, Hans Nina and Elvis Valero
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Luis Medina: Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
Hans Nina: Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
Elvis Valero: Departamento de Matemática, Universidad de Tarapacá, Arica 1000000, Chile

Mathematics, 2020, vol. 8, issue 4, 1-12

Abstract: 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.

Keywords: Leslie matrices; doubly Leslie matrices; nonnegative inverse eigenvalue problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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