Note on best possible bounds for determinants of matrices close to the identity matrix

DOI10.1016/j.laa.2014.09.041zbMath1303.15007arXiv1401.7084OpenAlexW2163782669MaRDI QIDQ472411

Richard P. Brent, Judy-anne H. Osborn, Warren D. Smith

Publication date: 19 November 2014

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

Full work available at URL: https://arxiv.org/abs/1401.7084

zbMATH Keywords

Fredholm determinantdeterminantperturbation boundskew-Hadamard matrixdiagonally dominant matrixmaximal determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Miscellaneous inequalities involving matrices (15A45) Boolean and Hadamard matrices (15B34)

Related Items (6)

Perturbations of determinants of matrices ⋮ Analysis of time-frequency scattering transforms ⋮ Addendum to: ``Estimates of the determinant of a perturbed identity matrix ⋮ Bounding the difference between true and nominal rejection probabilities in tests of hypotheses about instrumental variables models ⋮ Estimates of the determinant of a perturbed identity matrix ⋮ Verified bounds for the determinant of real or complex point or interval matrices

Cites Work

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• Higher order derivatives and perturbation bounds for determinants
• Bounds for determinants of perturbed \(M\)-matrices
• Perturbation Bounds for Determinants and Characteristic Polynomials
• Bounds for Determinants with Dominant Principal Diagonal

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