Higher order derivatives and perturbation bounds for determinants

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Higher order derivatives and perturbation bounds for determinants

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. AMS Subject Classifications : 15A15, 15A60, 15A69.

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2009

ISSN: 0024-3795

DOI: 10.1016/j.laa.2009.07.003