Some inequalities for the matrix Heron mean

DOI10.1016/j.laa.2016.09.007zbMath1403.15013arXiv1605.03516OpenAlexW2964071208MaRDI QIDQ1789402

Dinh Trung Hoa

Publication date: 10 October 2018

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

Full work available at URL: https://arxiv.org/abs/1605.03516

zbMATH Keywords

tracemajorizationdeterminant inequalitymatrix Heron mean

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (7)

Matrix Inequalities and Characterizations of Operator Monotone Functions ⋮ Some geometric properties of matrix means with respect to different metrics ⋮ On the matrix Heron means and Rényi divergences ⋮ New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality ⋮ On some algebraic properties related to Heron type operator means on positive definite cones of \(C^\ast\)-algebras ⋮ Some log-majorizations and an extension of a determinantal inequality ⋮ Non-linear interpolation of the harmonic-geometric-arithmetic matrix means

Cites Work

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• Some norm inequalities for matrix means
• Matrix power means and the Karcher mean
• Interpolating the arithmetic--geometric mean inequality and its operator version
• Inequalities related to Bourin and Heinz means with a complex parameter
• The Geometric Mean, Matrices, Metrics, and More

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