A transformation that preserves  principal minors of skew-symmetric matrices

Boussaïri, Abderrahim; Chergui, Brahim

doi:10.13001/1081-3810.3346

Cited by 4 publications

(2 citation statements)

References 6 publications

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“…Remark 5.14. Such transformations have been considered in the special case where v = w in [34, Lemma 5]; see also [3] where a similar transformation called clan reversal is introduced for skew symmetric matrices.…”

Section: Examples Of Couplingsmentioning

confidence: 99%

Targeted Vaccination Strategies for an Infinite-dimensional SIS Model

Delmas¹,

Dronnier²,

Zitt³

2021

Preprint

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We formalize and study the problem of optimal allocation strategies for a (perfect) vaccine in the infinite-dimensional SIS model. The question may be viewed as a bi-objective minimization problem, where one tries to minimize simultaneously the cost of the vaccination, and a loss that may be either the effective reproduction number, or the proportion of the infected population in the endemic state. We prove the existence of Pareto optimal strategies, describe the corresponding Pareto frontier in both cases, and study its convexity and stability properties. We also show that vaccinating according to the profile of the endemic state is a critical allocation, in the sense that, if the initial reproduction number is larger than 1, then this vaccination strategy yields an effective reproduction number equal to 1.

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Section: Examples Of Couplingsmentioning

confidence: 99%

Targeted Vaccination Strategies for an Infinite-dimensional SIS Model

Delmas¹,

Dronnier²,

Zitt³

2021

Preprint

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show abstract

“…Boussaïri and Chergui [3] consider the class of skew-symmetric matrices with entries from {−1, 0, 1} and such that all off-diagonal entries of the first row are nonzero. They characterize the pairs of matrices of this class that have equal corresponding principal minors of order 2 and 4.…”

Section: Introductionmentioning

confidence: 99%

Generalized tournament matrices with the same principal minors

Boussaïri,

Chaïchaâ,

Chergui

et al. 2021

Preprint

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A generalized tournament matrix M is a nonnegative matrix that satisfies M + M t = J − I, where J is the all ones matrix and I is the identity matrix. In this paper, a characterization of generalized tournament matrices with the same principal minors of orders 2, 3, and 4 is given. In particular, it is proven that the principal minors of orders 2, 3, and 4 determine the rest of the principal minors.

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On the Principal Minors Assignment Problem for Skew-Symmetric Matrices

Matoui

Driss

2020

Recent Advances in Intuitionistic Fuzzy Logic Systems and Mathematics

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A transformation that preserves principal minors of skew-symmetric matrices

Cited by 4 publications

References 6 publications

Targeted Vaccination Strategies for an Infinite-dimensional SIS Model

Targeted Vaccination Strategies for an Infinite-dimensional SIS Model

Generalized tournament matrices with the same principal minors

On the Principal Minors Assignment Problem for Skew-Symmetric Matrices

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