Abstract
Considering stochastic tensors (i.e., nonnegative hypermatrices in which every sum over one index , , or , is 1), we study the polytope () of all these tensors, the convex set () of all tensors in with some positive diagonals, and the polytope () generated by the permutation tensors. We show that is almost the same as except for some boundary points. We also present an upper bound for the number of vertices of .
Citation
Haixia Chang. Vehbi E. Paksoy. Fuzhen Zhang. "Polytopes of stochastic tensors." Ann. Funct. Anal. 7 (3) 386 - 393, August 2016. https://doi.org/10.1215/20088752-3605195
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