On a determinantal inequality arising from diffusion tensor imaging

DOI10.1142/S0219199716500449zbMath1372.15019arXiv1604.04141OpenAlexW2964031210MaRDI QIDQ5354373

Minghua Lin

Publication date: 1 September 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04141

zbMATH Keywords

positive matrixlog-majorizationdeterminantal inequality

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)

Related Items (11)

On some Fuglede-Kadison determinant inequalities of operator means ⋮ Some trace inequalities for matrix means ⋮ Extensions of Hartfiel's inequality to multiple matrices ⋮ New log-majorization results concerning eigenvalues and singular values and a complement of a norm inequality ⋮ Some generalizations and complements of determinantal inequalities ⋮ A proof of a conjectured determinantal inequality ⋮ Revisiting a sharpened version of Hadamard's determinant inequality ⋮ An extension of Harnack type determinantal inequality ⋮ Some log-majorizations and an extension of a determinantal inequality ⋮ New determinantal inequalities concerning Hermitian and positive semi-definite matrices ⋮ On some open questions concerning determinantal inequalities

Cites Work

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• Norm inequalities related to the matrix geometric mean
• On majorization and Schur products
• Determinantal inequalities for block triangular matrices
• Concavity of the function f(A) = det(I - A) for density operator A
• An eigenvalue majorization inequality for positive semidefinite block matrices
• Harnack's and Weyl's Inequalities
• Matrix theory. Basic results and techniques

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