A short note on extreme points of certain polytopes

We give a short proof of Mirsky’s result regarding the extreme points of the convex polytope of doubly substochastic matrices via Birkhoff’s Theorem and the doubly stochastic completion of doubly sub-stochastic matrices. In addition, we give an alternative proof of the extreme points of the convex p...

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Bibliographic Details
Main Authors: Cao Lei, Hall Ariana, Koyuncu Selcuk
Format: Article
Language:English
Published: De Gruyter 2020-01-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2020-0005