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Power symmetric stochastic matrices

✍ Scribed by Richard Sinkhorn


Book ID
107824867
Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
222 KB
Volume
40
Category
Article
ISSN
0024-3795

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For a positive integer n and for a real number s, let s n denote the set of all n Γ— n real matrices whose rows and columns have sum s. In this note, by an explicit constructive method, we prove the following. (i) Given any real n-tuple = (Ξ» 1 , Ξ» 2 , . . . , Ξ» n ) T , there exists a symmetric matri