Determinant Inequalities for Positive Definite Matrices Via Additive and Multiplicative Young Inequalities

DOI10.18273/revint.v40n2-2022004MaRDI QIDQ6192623

Sever Silvestru Dragomir

Publication date: 13 February 2024

Published in: Revista Integración (Search for Journal in Brave)

zbMATH Keywords

inequalitiespositive definite matricesdeterminants

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15)

Cites Work

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• Interpolating the arithmetic--geometric mean inequality and its operator version
• Further extensions of Hartfiel's determinant inequality to multiple matrices
• Improved Young and Heinz inequalities for matrices
• Revisiting a sharpened version of Hadamard's determinant inequality
• Reverse Young and Heinz inequalities for matrices
• Inequalities regarding partial trace and partial determinant
• Estimations of the weighted power mean by the Heron mean and related inequalities for determinants and traces
• Determinant inequalities for Hadamard product of positive definite matrices
• An Inequality for Positive Definite Matrices

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