Majorization and relative concavity

DOI10.1016/j.laa.2010.11.044zbMath1223.15029OpenAlexW1965880179MaRDI QIDQ630550

Marek Niezgoda

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.11.044

zbMATH Keywords

Ky Fan's inequalitymajorizationgroup-induced cone ordering\(G\)-majorizationEaton systemrelative concavity

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45) Inequalities for sums, series and integrals (26D15) Algebraic systems of matrices (15A30) Convexity of real functions of several variables, generalizations (26B25)

Related Items (3)

Linear preservers of even majorization on M_n,m ⋮ Linear preservers of circulant majorization on \(\mathbb R^n\) ⋮ Cone orderings, group majorizations and similarly separable vectors

Cites Work

• Schur-convexity for a class of symmetric functions and its applications
• Translation-invariant maps and applications
• The Schur harmonic convexity of the Hamy symmetric function and its applications
• \(G\)-majorization inequalities for linear maps
• Group majorization and Schur type inequalities
• An analytical characterization of effective and of irreducible groups inducing cone orderings
• Convex analysis on Cartan subspaces.
• Schur-convexity of the complete elementary symmetric function
• Generalization and sharpness of the power means inequality and their applications
• On Ky Fan's inequality
• The Hamy symmetric function and its generalization
• Upper bounds on certain functionals defined on groups of linear operators
• On the Chebyshev functional
• A new refinement of the Ky Fan inequality
• Convex Analysis on the Hermitian Matrices
• Inequalities: theory of majorization and its applications
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