G-majorization inequalities for linear maps, II

DOI10.1080/03081080500139702zbMath1109.15013OpenAlexW2053514077MaRDI QIDQ3422755

Marek Niezgoda

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/03081080500139702

zbMATH Keywords

Hadamard productlinear operatorsingular valuesdual operatorCauchy matrixtournament matrixabsolutely doubly substochastic matrixdoubly graded matrixGIC orderingeffective group

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Miscellaneous inequalities involving matrices (15A45)

Cites Work

• G-majorization, group-induced cone orderings, and reflection groups
• Hölder-type norm inequalities for Schur products of matrices
• \(G\)-majorization inequalities for linear maps
• An inequality for convex functions involving G-majorization
• Group majorization and Schur type inequalities
• An analytical characterization of effective and of irreducible groups inducing cone orderings
• The doubly graded matrix cone and Ferrers matrices
• Norm bounds for Hadamard products and an arithmetic-geometric mean inequality for unitarily invariant norms
• G-majorization with applications to matrix orderings
• Hadamard and conventional submultiplicativity for unitarily invariant norms on matrices
• The singular values of a Hadamard product: a basic inequality
• The singular values of the hadamard product of a positive semidefinite and a skew-symmetric matrix
• Singular Values, Diagonal Elements, and Convexity
• Majorization and Singular Values II
• Inequalities: theory of majorization and its applications

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