Inequalities for certain powers of several positive definite matrices

DOI10.7153/mia-2019-22-70zbMath1428.15019OpenAlexW2965753694MaRDI QIDQ5244281

Fadi Alrimawi

Publication date: 20 November 2019

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2019-22-70

zbMATH Keywords

convex functioninequalityHermitian matrixpositive definite matrixsingular valueunitarily invariant norm

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) Miscellaneous inequalities involving matrices (15A45) Real polynomials: location of zeros (26C10)

Related Items (1)

Further inequalities for certain powers of positive definite matrices

Cites Work

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• A concavity inequality for symmetric norms
• Some inequalities for powers of positive definite matrices
• Unitary orbits of Hermitian operators with convex or concave functions
• Norm inequalities involving convex and concave functions of operators
• Analytic Inequalities

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