An extension of Hartfiel's determinant inequality

DOI10.7153/mia-2018-21-75zbMath1406.15023OpenAlexW2898352818WikidataQ129050698 ScholiaQ129050698MaRDI QIDQ4561088

Sheng Dong, Lei Hou

Publication date: 10 December 2018

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

Full work available at URL: https://doi.org/10.7153/mia-2018-21-75

zbMATH Keywords

numerical rangedeterminantal inequalitysectorHartfiel inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45)

Related Items (8)

Further extensions of Hartfiel's determinant inequality to multiple matrices ⋮ Inequalities for the Heinz mean of sector matrices ⋮ Some results involving multiple matrices ⋮ More generalizations of Hartfiel's inequality and the Brunn-Minkowski inequality ⋮ Extensions of Hartfiel's inequality to multiple matrices ⋮ Extending a result of Haynsworth ⋮ More extensions of a determinant inequality of Hartfiel ⋮ Popoviciu type inequalities for determinants

Cites Work

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• Extension of a result of Haynsworth and Hartfiel
• Rotfel’d inequality for partitioned matrices with numerical ranges in a sector
• An Extension of Haynsworth's Determinant Inequality
• Singular value inequalities for matrices with numerical ranges in a sector
• Concave functions of partitioned matrices with numerical ranges in a sector
• Applications of an Inequality for the Schur Complement

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