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

Date

2015

Authors

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

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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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Citation

Source

Linear Algebra and its Applications

Type

Journal article

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Restricted until

2037-12-31