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

Jimmie Lawson; Yongdo Lim

doi:10.1016/j.laa.2007.11.005

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

Jimmie Lawson, Yongdo Lim

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	2030-2039
Number of pages	10
Journal	Linear Algebra and Its Applications
Volume	428
Issue number	8-9
DOIs	https://doi.org/10.1016/j.laa.2007.11.005
State	Published - 15 Apr 2008
Externally published	Yes

Keywords

Γ-Commuting triple
Geometric mean
Midpoint equation
Positive definite matrix
Spectral mean
Unitary matrix

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10.1016/j.laa.2007.11.005

Cite this

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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.",

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AU - Lawson, Jimmie

AU - Lim, Yongdo

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AB - 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.

KW - Γ-Commuting triple

KW - Geometric mean

KW - Midpoint equation

KW - Positive definite matrix

KW - Spectral mean

KW - Unitary matrix

UR - https://www.scopus.com/pages/publications/39549115433

U2 - 10.1016/j.laa.2007.11.005

DO - 10.1016/j.laa.2007.11.005

M3 - Article

AN - SCOPUS:39549115433

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VL - 428

SP - 2030

EP - 2039

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 8-9

ER -

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

Abstract

Keywords

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