Title

Γ-Commuting triples of positive definite matrices and midpoint equations on unitary matrices

Document Type

Article

Publication Date

4-15-2008

Abstract

Triples of positive definite matrices that can be transformed to a commuting triple by a congruence transformation are called Γ-commuting. In this paper we give various descriptions and characterizations of Γ-commuting triples and particularly focus on those involving the geometric mean and midpoint equations on a generating set of the special unitary group. © 2007 Elsevier Inc. All rights reserved.

Publication Source (Journal or Book title)

Linear Algebra and Its Applications

First Page

2030

Last Page

2039

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