A New Algorithm for Evaluating Determinants -- The Reduction Method
Combinatorics
2011-09-06 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1012.1790,
title = {A New Algorithm for Evaluating Determinants -- The Reduction Method},
author = {Ricardo S. Vieira},
journal= {arXiv preprint arXiv:1012.1790},
year = {2011}
}
Comments
The relationship between this work and that of the mathematicians C. L. Dodgson and F. Chi\`o it is presented in the Addendum