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arXiv 2006-12-19 DOI 10.1016/j.laa.2007.12.001 0 views

A note on infinite extreme correlation matrices

Kiukas, J. · Pellonpää, J. -P.

Original · EN

We give a characterization for the extreme points of the convex set of correlation matrices with a countable index set. A Hermitian matrix is called a correlation matrix if it is positive semidefinite with unit diagonal entries. Using the characterization we show that there exist extreme points of any rank.

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