Constructing matrix geometric means
Numerical Analysis
2011-04-29 v3
Abstract
In this paper, we analyze the process of "assembling" new matrix geometric means from existing ones, through function composition or limit processes. We show that for n=4 a new matrix mean exists which is simpler to compute than the existing ones. Moreover, we show that for n>4 the existing proving strategies cannot provide a mean computationally simpler than the existing ones.
Cite
@article{arxiv.0906.3132,
title = {Constructing matrix geometric means},
author = {Federico Poloni},
journal= {arXiv preprint arXiv:0906.3132},
year = {2011}
}