Refining eigenvalue inequalities for block 2 × 2 positive semidefinite matrices

DOI10.7153/oam-2021-15-36zbMath1484.15017OpenAlexW3175886516MaRDI QIDQ5862836

Marek Niezgoda

Publication date: 10 March 2022

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2021-15-36

zbMATH Keywords

eigenvaluegradientHermitian matrixmajorizationpositive semidefinite matrix\(G\)-increasing function

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

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• On a decomposition lemma for positive semi-definite block-matrices
• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• Extended commutation principles for normal decomposition systems
• Positive matrices partitioned into a small number of Hermitian blocks
• An extension of Schur-Ostrowski's condition, weak Eaton triples and generalized AI functions
• Hiroshima’s theorem and matrix norm inequalities
• NORM AND ANTI-NORM INEQUALITIES FOR POSITIVE SEMI-DEFINITE MATRICES
• An eigenvalue majorization inequality for positive semidefinite block matrices
• Unitary orbits of Hermitian operators with convex or concave functions
• DECOMPOSITION AND PARTIAL TRACE OF POSITIVE MATRICES WITH HERMITIAN BLOCKS
• Commutation Principles in Euclidean Jordan Algebras and Normal Decomposition Systems
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
• Inequalities: theory of majorization and its applications

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