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Weighted means and Karcher equations of positive operators

The Karcher or least-squares mean has recently become an important tool for the averaging and study of positive definite matrices. In this paper, we show that this mean extends, in its general weighted form, to the infinite-dimensional setting of positive operators on a Hilbert space and retains mos...

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Auteurs principaux: Lawson, Jimmie, Lim, Yongdo
Format: Artigo
Langue:Inglês
Publié: National Academy of Sciences 2013
Sujets:
Accès en ligne:https://ncbi.nlm.nih.gov/pmc/articles/PMC3785762/
https://ncbi.nlm.nih.gov/pubmed/24014588
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1313640110
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