The constraints on the coefficients of the characteristic polynomials of four dimensional doubly stochastic matrices with zero trace and Leslie stochastic matrices with zero trace are determined. Then, on the basis of these constraints, the regions of the complex plane consisting of those points which can serve as characteristic roots of four dimensional doubly stochastic matrices with zero trace and Leslie stochastic matrices with zero trace are characterized.

The NIEP for four dimensional Leslie and doubly stochastic matrices with zero trace from the coefficients of the characteristic polynomial / Benvenuti, Luca. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 544:(2018), pp. 286-298. [10.1016/j.laa.2018.01.016]

The NIEP for four dimensional Leslie and doubly stochastic matrices with zero trace from the coefficients of the characteristic polynomial

Benvenuti, Luca
2018

Abstract

The constraints on the coefficients of the characteristic polynomials of four dimensional doubly stochastic matrices with zero trace and Leslie stochastic matrices with zero trace are determined. Then, on the basis of these constraints, the regions of the complex plane consisting of those points which can serve as characteristic roots of four dimensional doubly stochastic matrices with zero trace and Leslie stochastic matrices with zero trace are characterized.
2018
doubly stochastic matrices; nonnegative inverse eigenvalue problem; leslie matrices;
01 Pubblicazione su rivista::01a Articolo in rivista
The NIEP for four dimensional Leslie and doubly stochastic matrices with zero trace from the coefficients of the characteristic polynomial / Benvenuti, Luca. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 544:(2018), pp. 286-298. [10.1016/j.laa.2018.01.016]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1083869
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