Higher order derivatives and perturbation bounds for some functions of matrices

Details Higher order derivatives and perturbation bounds for some functions of matrices Higher order derivatives and perturbation bounds for some functions of matrices

2010-07-26

arxiv.org/abs/1007.4402v1

Mathematics

Functional Analysis

11 pages

Scientific paper

In this paper, we obtain three different expressions for all higher order
derivatives of the permanent of a matrix and coefficients of its characteristic
polynomial. Upper bound for the norms of the derivatives of the permanent is
given. Norms of the derivatives of coefficients of the characteristic
polynomial are evaluated exactly.

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