A weak majorization involving the matrices \(A\circ B\) and \(AB\)

DOI10.1016/0024-3795(94)00009-3zbMath0833.15019OpenAlexW2060759832MaRDI QIDQ1894521

George Visick

Publication date: 18 March 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00009-3

zbMATH Keywords

Hadamard productsum of inverses of larger eigenvaluesweak multiplicative majorization

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (6)

Extremal matrices in certain determinantal inequalities ⋮ Log-majorization Type Inequalities ⋮ Eigenvalue equalities for ordinary and Hadamard products of powers of positive semidefinite matrices ⋮ A quantitative version of the observation that the Hadamard product is a principal submatrix of the Kronecker product ⋮ Spectral inequalities for Kubo-Ando operator means ⋮ On an eigenvalue inequality involving the Hadamard product

Cites Work

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• Cauchy-Schwarz inequalities associated with positive semidefinite matrices
• On majorization and Schur products
• The relationship between Hadamard and conventional multiplication for positive definite matrices
• Some results on matrix monotone functions
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• A note on the Hadamard product of matrices
• Some eigenvalue inequalities for positive semidefinite matrix power products
• Matrix Analysis
• Inequalities: theory of majorization and its applications

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