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

Brent, Richard; Osborn, Judy-Anne; Smith, Warren D.

Description

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

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
URI: http://hdl.handle.net/1885/57660
Source: Linear Algebra and its Applications
DOI: 10.1016/j.laa.2014.09.041

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