An extension of the Fiedler-Markham determinant inequality

DOI10.1080/03081087.2017.1304521zbMath1427.15022OpenAlexW2600512899MaRDI QIDQ5206296

Ligang Kuai

Publication date: 18 December 2019

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1304521

zbMATH Keywords

determinant inequalitysector matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45)

Related Items (6)

Unifying a result of Thompson and a result of Fiedler and Markham on block positive definite matrices ⋮ Extensions of Brunn-Minkowski's inequality to multiple matrices ⋮ Schatten q-norms and determinantal inequalities for matrices with numerical ranges in a sector ⋮ Some inequalities related to \(2\times 2\) block sector partial transpose matrices ⋮ Extensions of some matrix inequalities related to trace and partial traces ⋮ Inequalities related to the geometric mean of accretive matrices

Cites Work

• Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector
• Quantum information theory and quantum statistics.
• Extension of a result of Haynsworth and Hartfiel
• A treatment of a determinant inequality of Fiedler and Markham
• Some inequalities for sector matrices
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