A New Algorithm for Evaluating Determinants -- The Reduction Method

Details A New Algorithm for Evaluating Determinants -- The Reduction Method A New Algorithm for Evaluating Determinants -- The Reduction Method

2010-12-08

arxiv.org/abs/1012.1790v3

Mathematics

Combinatorics

The relationship between this work and that of the mathematicians C. L. Dodgson and F. Chi\`o it is presented in the Addendum

Scientific paper

We present here a new method for evaluating determinants -- the reduction
method. Firstly, in the section 2, we apply it to third-order determinants and
after, in the section 3, we generalize it to higher-order determinants. In the
section 4 an alternative formulation of the reduction method is presented and,
in the section 5, we give the respective mathematical proofs.

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