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math.RA2021★ 1 cited
Inequalities and limits of weighted spectral geometric mean
Luyining Gan, Tin-Yau Tam
We establish some new properties of spectral geometric mean. In particular, we prove a log majorization relation between and the $t…
math.RA2021
On two geometric means and sum of adjoint orbits
Luyining Gan, Xuhua Liu, Tin-Yau Tam
In this paper, we study the metric geometric mean introduced by Pusz and Woronowicz and the spectral geometric mean introduced by Fiedler and Pták, originally for positive definite…