CUED Publications database

Geometric Matrix Midranges

Mostajeran, C and Grussler, C and Sepulchre, R Geometric Matrix Midranges. (Unpublished)

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Abstract

We define geometric matrix midranges for positive definite Hermitian matrices and study the midrange problem from a number of perspectives. Special attention is given to the midrange of two positive definite matrices before considering the extension of the problem to $N > 2$ matrices. We compare matrix midrange statistics with the scalar and vector midrange problem and note the special significance of the matrix problem from a computational standpoint. We also study various aspects of geometric matrix midrange statistics from the viewpoint of linear algebra, differential geometry and convex optimization.

Item Type: Article
Uncontrolled Keywords: math.OC math.OC
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 25 Jul 2019 01:18
Last Modified: 24 Oct 2019 13:36
DOI: