Non-linear interpolation of the harmonic-geometric-arithmetic matrix means

DOI10.1134/S1995080219010062zbMath1442.15028OpenAlexW2936232179WikidataQ128091786 ScholiaQ128091786MaRDI QIDQ2003109

Dinh Trung Hoa, Raluca Dumitru, Jose A. Franco

Publication date: 15 July 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219010062

zbMATH Keywords

concavitynorm inequalitiessymmetric meansKubo-Ando means

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (3)

Some geometric properties of matrix means with respect to different metrics ⋮ On the matrix Heron means and Rényi divergences ⋮ Weighted Hellinger distance and in-betweenness property

Cites Work

• Some norm inequalities for matrix means
• Norm inequalities related to the matrix geometric mean
• Matrix power means and the Karcher mean
• Means of positive linear operators
• Some inequalities for the matrix Heron mean
• On a conjecture of Bhatia, Lim and Yamazaki

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