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Faces of the polytope of doubly substochastic matrices

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  • NSTL
  • Elsevier
We study the faces of the convex polytope of all n x n doubly substochastic matrices, denoted by omega(n). We give the necessary and sufficient conditions of a face being nonempty. We also describe all 1-dimensional faces, 2-dimensional faces, and facets of omega(n). Moreover, we explore the relation between the faces of omega(n) and the faces of Omega(n), the convex polytope of all n x n doubly stochastic matrices. (c) 2021 Elsevier Inc. All rights reserved.

FacesFacetsDoubly stochastic matricesDoubly substochastic matrices

Cao, Lei、Chen, Zhi

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Nova Southeastern Univ

Nanjing Agr Univ

2022

10.1016/j.laa.2021.11.012

Linear Algebra and its Applications

Linear Algebra and its Applications

EISCI
ISSN：0024-3795
年,卷(期)：2022.637
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