Geometric matrix midranges
Accepted version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
MOSTAJERAN, C
GRUSSLER, C
SEPULCHRE, R
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
Description
Keywords
positive definite matrices, statistics, optimization, matrix means, midranges, Thompson metric, minimal geodesic, affine-invariance
Journal Title
SIAM Journal on Matrix Analysis and Applications
Conference Name
Journal ISSN
0895-4798
1095-7162
1095-7162
Volume Title
41
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Publisher DOI
Rights
All rights reserved
Sponsorship
European Research Council (670645)
ECH2020 EUROPEAN RESEARCH COUNCIL (ERC) (670645)