Lih Wang's and Dittert's conjectures on permanents

Let Ωn{\Omega }_{n} denote the set of all doubly stochastic matrices of order nn. Lih and Wang conjectured that for n≥3n\ge 3, per(tJn+(1−t)A)≤t\left(t{J}_{n}+\left(1-t)A)\le tperJn+(1−t){J}_{n}+\left(1-t)perAA, for all A∈ΩnA\in {\Omega }_{n} and all t∈[0.5,1]t\in \left[0.5,1], where Jn{J}_{n} is th...

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Bibliographic Details

Published in:	Special Matrices
Main Authors:	Udayan Divya K., Somasundaram Kanagasabapathi
Format:	Article
Language:	English
Published:	De Gruyter 2024-05-01
Subjects:	permanents doubly stochastic matrices lih-wang conjecture phi-maximizing matrix dittert’s conjecture 15a15
Online Access:	https://doi.org/10.1515/spma-2024-0006