On the matrix Heron means and Rényi divergences

DOI10.1080/03081087.2020.1763239OpenAlexW3025039788MaRDI QIDQ5078228

Dinh Trung Hoa, Jose A. Franco, Raluca Dumitru

Publication date: 23 May 2022

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1763239

zbMATH Keywords

Kubo-Ando meansHeron meansRényi divergencesinterpolation of means

Mathematics Subject Classification ID

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

Related Items (1)

Matrix Inequalities and Characterizations of Operator Monotone Functions

Cites Work

• Some norm inequalities for matrix means
• Norm inequalities related to the matrix geometric mean
• Means of positive linear operators
• Log-majorization related to Rényi divergences
• Some inequalities for the matrix Heron mean
• Non-linear interpolation of the harmonic-geometric-arithmetic matrix means
• On a conjecture of Bhatia, Lim and Yamazaki

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