Matrix power means and the information monotonicity

DOI10.1016/j.laa.2017.01.025zbMath1445.15015OpenAlexW2580460722MaRDI QIDQ513248

Yuki Seo, Mahdi Dehghani, Mohsen Kian

Publication date: 3 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.laa.2017.01.025

zbMATH Keywords

positive definite matrixpositive linear mappinginformation monotonicitymatrix power mean

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (7)

Some inequalities for matrix power means ⋮ The unique solution of the Karcher equation and the self-adjointness of the Karcher mean ⋮ New inequalities for the generalized Karcher mean ⋮ Indefinite matrix inequalities via matrix means ⋮ Variants of Ando–Hiai inequality for operator power means ⋮ Matrix inequalities related to power means of probability measures ⋮ Some matrix power and Karcher means inequalities involving positive linear maps

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