id: 05850026
dt: j
an: 05850026
au: Poloni, Federico G.
ti: Constructing matrix geometric means.
so: Electron. J. Linear Algebra 20, 419-435, electronic only (2010).
py: 2010
pu: ILAS - The International Linear Algebra Society c/o Daniel Hershkowitz,
    Department of Mathematics, Technion - Israel Institute of Techonolgy,
    Haifa
la: EN
cc: 
ut: matrix geometric mean; positive definite matrix; invariance properties;
    groups of permutations
ci: 
li: emis:journals/ELA/ela-articles/abstracts/abs_vol20_pp419-435.pdf
ab: Summary: 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.
rv: