On the number of vertices of the stochastic tensor polytope
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Publication:4603679
DOI10.1080/03081087.2017.1310178zbMath1382.15050arXiv1702.04288OpenAlexW2588391312MaRDI QIDQ4603679
Fuzhen Zhang, Zhongshan Li, Xiao Dong Zhang
Publication date: 19 February 2018
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.04288
extreme pointpolytopedoubly stochastic matrixvertexBirkhoff polytopestochastic semi-magic cubestochastic tensormultidimensional matrixBirkhoff-von Neumann theoremhypermatrix
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On the extreme points of slice-stochastic tensors ⋮ Brauer-type eigenvalue inclusion sets of stochastic/irreducible tensors and positive definiteness of tensors ⋮ Nonnegative tensors revisited: plane stochastic tensors ⋮ The permanent functions of tensors ⋮ CHECKERBOARD COPULAS OF MAXIMUM ENTROPY WITH PRESCRIBED MIXED MOMENTS ⋮ Enumerating extreme points of the polytopes of stochastic tensors: an optimization approach ⋮ Ergodicity of $p$-majorizing nonlinear Markov operators on the finite dimensional space
Cites Work
- Polytopes of stochastic tensors
- Three dimensional line stochastic matrices and extreme points
- A formula for the number of Latin squares
- Stochastic patterns
- Extremal plane stochastic matrices of dimension three
- McMullen's conditions and some lower bounds for general convex polytopes
- On the vertices of the \(d\)-dimensional Birkhoff polytope
- Extremal configurations and decomposition theorems. I
- A proof of the lower bound conjecture for convex polytopes
- Birkhoff--von Neumann Theorem for Multistochastic Tensors
- Lectures on Polytopes
- The maximum numbers of faces of a convex polytope
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