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

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dc.contributor.authorBrent, Richard
dc.contributor.authorOsborn, Judy-Anne
dc.contributor.authorSmith, Warren D.
dc.date.accessioned2015-12-10T22:40:55Z
dc.date.issued2015
dc.date.updated2015-12-09T11:02:23Z
dc.description.abstractWe 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
dc.identifier.issn0024-3795
dc.identifier.urihttp://hdl.handle.net/1885/57660
dc.publisherElsevier
dc.sourceLinear Algebra and its Applications
dc.titleNote on best possible bounds for determinants of matrices close to the identity matrix
dc.typeJournal article
local.bibliographicCitation.lastpage26
local.bibliographicCitation.startpage21
local.contributor.affiliationBrent, Richard, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationOsborn, Judy-Anne, University of Newcastle
local.contributor.affiliationSmith, Warren D., Centre for Range Voting
local.contributor.authoremailu4241028@anu.edu.au
local.contributor.authoruidBrent, Richard, u4241028
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010101 - Algebra and Number Theory
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationu4056230xPUB410
local.identifier.citationvolume466
local.identifier.doi10.1016/j.laa.2014.09.041
local.identifier.scopusID2-s2.0-84908426097
local.identifier.uidSubmittedByu4056230
local.type.statusPublished Version

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