On two geometric means and sum of adjoint orbits
نویسندگان
چکیده
In this paper, we study the metric geometric mean introduced by Pusz and Woronowicz spectral Fiedler Pták, originally for positive definite matrices. The relation between t-metric t-spectral is established via log majorization. result then extended in context of symmetric space associated with a noncompact semisimple Lie group. For any Hermitian matrices X Y, So's matrix exponential formula asserts that there are unitary U V such thateX/2eYeX/2=eUXU⁎+VYV⁎. other words, log(eX/2eYeX/2) lies sum orbits Y. also to adjoint
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2021
ISSN: ['1873-1856', '0024-3795']
DOI: https://doi.org/10.1016/j.laa.2021.08.029