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

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Date

2015

Authors

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

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

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

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Keywords

Citation

URI

http://hdl.handle.net/1885/57660

Collections

ANU Research Publications

Source

Linear Algebra and its Applications

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1016/j.laa.2014.09.041

Restricted until

2037-12-31

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01_Brent_Note_on_best_possible_bounds_2015.pdf (204.92 KB)

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