Singular value inequalities for the arithmetic, geometric and Heinz means of matrices

DOI10.1080/03081087.2011.556632zbMath1242.15015OpenAlexW2058699673MaRDI QIDQ3104565

Omar Hirzallah, Ibrahim Halil Gümüş, Necati Taškara

Publication date: 14 December 2011

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.556632

zbMATH Keywords

arithmetic meangeometric meanpositive definite matrixHeinz meansingular value inequalities

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Means (26E60) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (3)

Singular values inequalities for matrix means ⋮ Eigenvalue inequalities for differences of means of Hilbert space operators ⋮ Generalized operator version of Bernoulli’s inequality

Cites Work

• Means of positive linear operators
• Majorizations and inequalities in matrix theory
• Notes on matrix arithmetic-geometric mean inequalities
• The matrix arithmetic-geometric mean inequality revisited
• Analytic Inequalities

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