Brent, RichardOsborn, Judy-AnneSmith, Warren D.2015-12-100024-3795http://hdl.handle.net/1885/57660We 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 best201510.1016/j.laa.2014.09.0412015-12-09