Maximum and minimum diagonal sums of doubly stochastic matrices |
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Authors: | Edward Tzu-Hsia Wang |
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Institution: | University of British Columbia Vancouver, British Columbia, Canada |
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Abstract: | Let Ωn denote the convex polyhedron of all n×n doubly stochastic (d.s.) matrices. The purpose of this paper is to investigate some of the numerical properties of the maximum and the minimum diagonal sums of the matrices in Ωn. A few conjectures that naturally arise will be mentioned. |
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