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On diagonal products of doubly stochastic matrices |
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| Authors: | R. Bapat T.E.S. Raghavan |
| Affiliation: | Department of Mathematics University of Illinois at Chicago Circle Chicago, Illinois 60680, USA |
| Abstract: | The following result is proved: If A and B are distinct n × n doubly stochastic matrices, then there exists a permutation σ of {1, 2,…, n} such that ∏iaiσ(i) > ∏ibiσ(i). |
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