An arithmetic-geometric mean inequality for singular values and its applications

DOI10.1016/j.laa.2016.01.016zbMath1398.15017OpenAlexW2273912508MaRDI QIDQ1789384

Li-Min Zou

Publication date: 10 October 2018

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.01.016

zbMATH Keywords

singular valuesunitarily invariant normsmatrix means

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (12)

Singular value inequalities for operators and matrices ⋮ A generalization and an application of the arithmetic-geometric mean inequality for the Frobenius norm ⋮ Weighted arithmetic-geometric operator mean inequalities ⋮ Log-majorization Type Inequalities ⋮ Some refinements of operator reverse AM-GM mean inequalities ⋮ New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality ⋮ Weak log-majorization between the geometric and Wasserstein means ⋮ Spectral inequalities for Kubo-Ando operator means ⋮ Some log-majorizations and an extension of a determinantal inequality ⋮ Unnamed Item ⋮ Further refinements of reversed AM-GM operator inequalities ⋮ Strengthenings of Young-type inequalities and the arithmetic geometric mean inequality

Cites Work

• Unnamed Item
• Norm inequalities related to the matrix geometric mean
• On a question of Bhatia and Kittaneh
• Singular value inequalities for positive semidefinite matrices
• Singular value inequalities for compact operators
• Notes on matrix arithmetic-geometric mean inequalities
• On singular value inequalities for matrix means
• The matrix arithmetic-geometric mean inequality revisited
• On the Singular Values of a Product of Operators
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• Some research problems on the hadamard product and singular values of matrices

This page was built for publication: An arithmetic-geometric mean inequality for singular values and its applications