MINIMUM PERMANENTS OF DOUBLY STOCHASTIC MATRICES WITH k DIAGONAL p×p BLOCK SUBMATRICES

Title & Authors
MINIMUM PERMANENTS OF DOUBLY STOCHASTIC MATRICES WITH k DIAGONAL p×p BLOCK SUBMATRICES
Lee, Eun-Young;

Abstract
For positive integers $\small{\kappa}$ and p$\small{\geq}$3, let(equation omitted) where $\small{J_{p}}$ is the p$\small{{\times}}$p matrix whose entries are all 1. Then, we determine the minimum permanents and minimizing matrices over (1) the face of $\small{\Omega}$(D) and (2) the face of $\small{\Omega}$($\small{D^{*}}$), where (equation omitted).
Keywords
permanent;doubly stochastic matrix;barycentric matrix;
Language
English
Cited by
1.
Remarks and open problems on the minimum permanent of acyclic doubly stochastic matrices, Linear and Multilinear Algebra, 2013, 61, 3, 281
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