- Title
- Note on best possible bounds for determinants of matrices close to the identity matrix
- Creator
- Brent, Richard P.; Osborn, Judy-anne H.; Smith, Warren D.
- Relation
- ARC.DP140101417
- Relation
- Linear Algebra and Its Applications Vol. 466, p. 21-26
- Publisher Link
- http://dx.doi.org/10.1016/j.laa.2014.09.041
- Publisher
- Elsevier
- Resource Type
- journal article
- Date
- 2015
- 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 possible if a skew-Hadamard matrix of the same order exists.
- Subject
- determinant; perturbation bound; diagonally dominant matrix; Skew-Hadamard matrix; Fredholm determinant; maximal determinant
- Identifier
- http://hdl.handle.net/1959.13/1332843
- Identifier
- uon:26948
- Identifier
- ISSN:0024-3795
- Language
- eng
- Reviewed
- Hits: 1077
- Visitors: 1029
- Downloads: 0
Thumbnail | File | Description | Size | Format |
---|