Inverse maximal eigenvalues problems for Leslie and doubly Leslie matrices

Pickmann-Soto, H.; Arela-Pérez, S.; Nina, Hans; Valero, Elvis

doi:10.1016/j.laa.2020.01.019

Cited by 6 publications

(1 citation statement)

References 16 publications

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“…In References [14,15], the construction of Leslie stochastic matrices are considered; in the first, the construction of Leslie and doubly Leslie stochastic matrices with zero traces from the coefficients of their characteristic polynomial, and in the second, the construction of Leslie stochastic matrices from a list of nonzero complex numbers, which is a subset of its spectrum. Reference [16] presents the construction of Leslie and doubly Leslie matrices, and companion and doubly companion matrices from particular spectral data. These constructions are independent.…”

Section: Introductionmentioning

confidence: 99%

A Note on NIEP for Leslie and Doubly Leslie Matrices

2020

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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.

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Section: Introductionmentioning

confidence: 99%

A Note on NIEP for Leslie and Doubly Leslie Matrices

2020

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An Algorithm for Non-negative Leslie Matrices

Pantáz,

Rodríguez,

Medina

2024

Springer Proceedings in Mathematics &Amp; Statistics

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On bifurcations, resonances and dynamical behaviour in nonlinear iteroparous Leslie matrix models

Wikan,

Kristensen

2024

Nonlinear Dyn

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Leslie matrix models with nonzero nonlinear fecundity elements are under consideration. It is proved that by use of the general Deriso–Schnute recruitment function the supercritical nature of bifurcations in 2- and 3-age class models and a thorough analysis of 1:2 and 1:3 resonance phenomena are also provided. A discussion of impact of coexisting attractors and structures of trapping regions is included as well. Results regarding stabilizing and destabilizing effects as well as dynamical outcomes found in general n-age class models are also presented. Suggestions with respect to where our models may apply are provided too.

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Inverse maximal eigenvalues problems for Leslie and doubly Leslie matrices

Cited by 6 publications

References 16 publications

A Note on NIEP for Leslie and Doubly Leslie Matrices

A Note on NIEP for Leslie and Doubly Leslie Matrices

An Algorithm for Non-negative Leslie Matrices

On bifurcations, resonances and dynamical behaviour in nonlinear iteroparous Leslie matrix models

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