A proof of a conjectured determinantal inequality

DOI10.1016/j.laa.2020.07.013zbMath1448.15025OpenAlexW3042904500MaRDI QIDQ2197268

Abdallah Assi, Bassam Mourad, Hassane Abbas, Mohammad M. Ghabries

Publication date: 31 August 2020

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

Full work available at URL: https://doi.org/10.1016/j.laa.2020.07.013

zbMATH Keywords

eigenvaluesHermitian matrixlog-majorizationdeterminantal inequalitiespositive semi-definite matrix

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)

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Cites Work

• Some log-majorizations and an extension of a determinantal inequality
• On some open questions concerning determinantal inequalities
• Some generalizations and complements of determinantal inequalities
• On a determinantal inequality arising from diffusion tensor imaging
• Matrix inequalities