Concerning the set of doubly stochastic positive semidefinite matrices

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1969

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Abstract

Let E[lowered n] be the set of all nxn doubly stochastic positive semidefinite matrices. Then E[lowered n] is a convex subset of the vector space of all nxn real matrices. Any doubly stochastic matrix which is idempotent is an extreme point of E[lowered n]. If A is a member of E[lowered n] and P is a permutation matrix then PAP[raised T] is an extreme point of E[lowered n] if and only if A is an extreme point of E[lowered n]...

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