@article{e3d37f70f0534154aa41763f5092ec35,
title = "Note on best possible bounds for determinants of matrices close to the identity matrix",
abstract = "We give upper and lower bounds on the determinant of a small perturbation of the identity matrix. The lower bounds are best possible, and in most cases they are stronger than well-known bounds due to Ostrowski and other authors. The upper bounds are best possible if a skew-Hadamard matrix of the same order exists.",
keywords = "Determinant, Diagonally dominant matrix, Fredholm determinant, Maximal determinant, Perturbation bound, Skew-Hadamard matrix",
author = "Brent, {Richard P.} and Osborn, {Judy Anne H.} and Smith, {Warren D.}",
note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",
year = "2015",
month = feb,
day = "1",
doi = "10.1016/j.laa.2014.09.041",
language = "English",
volume = "466",
pages = "21--26",
journal = "Linear Algebra and Its Applications",
issn = "0024-3795",
publisher = "Elsevier Inc.",
}