Constructing matrix geometric means

Details Constructing matrix geometric means Constructing matrix geometric means

2009-06-17

arxiv.org/abs/0906.3132v3

Electron J Linear AL 20 (2010), pp. 419-435

Mathematics

Numerical Analysis

Scientific paper

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.

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