Means of Positive Numbers and Matrices

DOI10.1137/050621906zbMath1108.47020OpenAlexW1997441999MaRDI QIDQ5470488

Róbert Temesi, Dénes Petz

Publication date: 31 May 2006

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050621906

zbMATH Keywords

logarithmic meangeometric meanmatrix mean

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (18)

Riemannian geometry and matrix geometric means ⋮ Operator means and positivity of block operators ⋮ Parameter Estimation for α-GMM Based on Maximum Likelihood Criterion ⋮ Carlson's iterative mean algorithm of positive definite matrices ⋮ Generalized Pólya-Szegő type inequalities for some non-commutative geometric means ⋮ Weighted matrix means and symmetrization procedures ⋮ Anisotropy preserving DTI processing ⋮ Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices ⋮ Rank-preserving geometric means of positive semi-definite matrices ⋮ Factorizations and geometric means of positive definite matrices ⋮ Uncertainty principle and quantum Fisher information. II. ⋮ A volume inequality for quantum Fisher information and the uncertainty principle ⋮ Jensen and Minkowski inequalities for operator means and anti-norms ⋮ A Robertson-type uncertainty principle and quantum Fisher information ⋮ Inequalities for quantum Fisher information ⋮ Integration of Stochastic Models by Minimizing α-Divergence ⋮ A converse inequality of higher order weighted arithmetic and geometric means of positive definite operators ⋮ Symmetric matrix means

This page was built for publication: Means of Positive Numbers and Matrices