A Schur parametrization of non-negative Hermitian and contractive block matrices and the corresponding maximum entropy problems

Abstract

In continuation of the paper [28] Schur parametrizations will be constructed for non-negative Hermitian block matrices and for contractive block matrices.This admits a clear geometrical approach to special problems of entropy optimization.

AMS 1980 Subject Classifications:

• Primary: 15 A 23
• Secondary: 60 G 10
• Secondary: 60 G 25

Keywords:

• Schur analysis
• non-negative Hermitian block matrix extension
• entropy optimization
• matrix ball description