A quantitative Popoviciu type inequality for four positive semi-definite matrices

DOI10.1080/03081087.2023.2259578MaRDI QIDQ6618725

Fen Wang

Publication date: 15 October 2024

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

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• Hlawka-Popoviciu inequalities on positive definite tensors
• The Schur complement and its applications
• Extensions of Hartfiel's inequality to multiple matrices
• More extensions of a determinant inequality of Hartfiel
• Extension of a result of Haynsworth and Hartfiel
• More generalizations of Hartfiel's inequality and the Brunn-Minkowski inequality
• An extension of Hartfiel's determinant inequality
• An Extension of Haynsworth's Determinant Inequality
• Refinements of two determinantal inequalities for positive semidefinite matrices
• Inequalities of generalized matrix functions via tensor products
• Applications of an Inequality for the Schur Complement
• Inequalities: theory of majorization and its applications
• Matrix theory. Basic results and techniques
• A quantitative Popoviciu type inequality

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