Extremal matrices in certain determinantal inequalities

DOI10.1080/03081089808818562zbMath0928.15013OpenAlexW2016389593MaRDI QIDQ4253158

Natália Bebiano, Cecília Perdigão

Publication date: 3 January 2000

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

Full work available at URL: https://doi.org/10.1080/03081089808818562

zbMATH Keywords

eigenvaluespositive definite matricesdeterminantssingular valuesHadamard productsdeterminantal inequalities

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45)

Related Items

Log-majorization Type Inequalities

Cites Work

• Unnamed Item
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Log majorization and complementary Golden-Thompson type inequalities
• Majorization relations for Hadamard products
• A weak majorization involving the matrices \(A\circ B\) and \(AB\)
• Determinant of the Sum of a Symmetric and a Skew-Symmetric Matrix
• A Normal form for a Matrix under the Unitary Congruence Group
• Matrix Analysis

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