The unique solution of the Karcher equation and the self-adjointness of the Karcher mean

DOI10.1080/03081087.2018.1440520OpenAlexW2791028364MaRDI QIDQ4632260

Yuki Seo, Jun Ichi Fujii

Publication date: 29 April 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2018.1440520

zbMATH Keywords

geometric operator meanTsallis relative operator entropyKarcher meansoperator power mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items

Some inequalities for matrix power means ⋮ Variants of Ando–Hiai inequality for operator power means ⋮ Matrix inequalities related to power means of probability measures

Cites Work

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• Tsallis relative operator entropy with negative parameters
• Matrix power means and the information monotonicity
• Matrix power means and the Karcher mean
• Means of positive linear operators
• The relative operator entropy and the Karcher mean
• Karcher means and Karcher equations of positive definite operators
• The Riemannian mean and matrix inequalities related to the Ando-Hiai inequality and chaotic order