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 |
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| 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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