Inequalities with determinants of perturbed positive matrices

DOI10.1016/j.laa.2014.02.026zbMath1302.15024arXiv1402.3548OpenAlexW2036699043MaRDI QIDQ2447968

Ivan Matic

Publication date: 29 April 2014

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

Full work available at URL: https://arxiv.org/abs/1402.3548

zbMATH Keywords

Fischer's inequalitydeterminantal inequalitydeterminants of block matrices

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45)

Related Items (5)

Unnamed Item ⋮ The Hadamard determinant inequality -- extensions to operators on a Hilbert space ⋮ Extension of Matic's results ⋮ More extensions of a determinant inequality of Hartfiel ⋮ Remarks on two determinantal inequalities

Cites Work

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• WYD-like skew information measures
• A Lewent type determinantal inequality
• Large deviations for processes in random environments with jumps
• Eigenvalue inequalities for convex and log-convex functions
• Directional decay of the Green's function for a random nonnegative potential on \(\mathbb{Z}^d\)
• Positive matrices partitioned into a small number of Hermitian blocks
• On some Fischer-type determinantal inequalities for accretive-dissipative matrices
• Reversed Fischer determinantal inequalities
• An inequality among determinants

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