Higher order derivatives and perturbation bounds for determinants

Bhatia, Rajendra ; Jain, Tanvi (2009) Higher order derivatives and perturbation bounds for determinants Linear Algebra and its Applications, 431 (11). pp. 2102-2108. ISSN 0024-3795

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00243...

Related URL: http://dx.doi.org/10.1016/j.laa.2009.07.003

Abstract

The first derivative of the determinant function is given by the well-known Jacobi's formula. We obtain three different expressions for all higher order derivatives. Norms of these derivatives are then evaluated exactly.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Determinant; Derivative; Norm; Perturbation Bound
ID Code:2590
Deposited On:08 Oct 2010 07:09
Last Modified:16 May 2016 13:33

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