On the Lawson–Lim means and Karcher mean for positive invertible operators

This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers.

Detalles Bibliográficos
Autores principales: Liao, Wenshi, Long, Pujun, Ren, Zemin, Wu, Junliang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6132378/
https://www.ncbi.nlm.nih.gov/pubmed/30839602
http://dx.doi.org/10.1186/s13660-018-1817-5
Descripción
Sumario:This note aims to generalize the reverse weighted arithmetic–geometric mean inequality of n positive invertible operators due to Lawson and Lim. In addition, we make comparisons between the weighted Karcher mean and Lawson–Lim geometric mean for higher powers.

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