Faddeev–LeVerrier algorithm: Difference between revisions

Revision as of 13:36, 10 March 2016

Revision as of 12:51, 25 March 2016

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The final solution might be more conveniently expressed in terms of complete exponential [[Bell polynomials]] as

:<math> c_{n-k} = \frac{(-1)^{n-k}}{k!} {\calmathcal B}_k \Bigl ( \operatorname{tr}A , -1! ~ \operatorname{tr}A^2, 2! ~\operatorname{tr}A^3, \ldots, (-1)^{k-1}(k-1)! ~ \operatorname{tr}A^k\Bigr ) .</math>

==An equivalent but distinct expression==