Article ID Journal Published Year Pages File Type
4602368 Linear Algebra and its Applications 2008 8 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory