Matrix-valued Jensen's inequality and its application to eigenvalue analysis

DOI10.1016/j.jmaa.2018.04.072zbMath1388.15007OpenAlexW2801747562MaRDI QIDQ1754697

Yongdo Lim, Miklós Pálfia

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.04.072

zbMATH Keywords

positive definite matrixJensen inequalityWasserstein distanceeigenvalue inequalitiescontractive barycenter

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Eigenvalues, singular values, and eigenvectors (15A18) Spaces of measures, convergence of measures (28A33)

Related Items (1)

Matrix extremal problems and shift invariant means

Cites Work

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• Log majorization and complementary Golden-Thompson type inequalities
• Convexity of the geodesic distance on spaces of positive operators
• Barycentric maps for compactly supported measures
• Ordered probability spaces
• Log-majorization and Lie-Trotter formula for the Cartan barycenter on probability measure spaces
• A CAT(0)-VALUED POINTWISE ERGODIC THEOREM
• A general framework for extending means to higher orders
• An L¹ ergodic theorem with values in a non-positively curved space via a canonical barycenter map
• Contractive barycentric map
• Weighted deterministic walks for the least squares mean on Hadamard spaces
• On Certain Contraction Mappings in a Partially Ordered Vector Space
• Introduction to matrix analysis and applications

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