Generalizing Dodgson's method: a "double-crossing" approach to computing determinants
Combinatorics
2011-05-20 v2
Abstract
Dodgson's method of computing determinants was recently revisited in a paper that appeared in the College Math Journal. The method is attractive, but fails if an interior entry of an intermediate matrix has the value zero. This paper reviews the structure of Dodgson's method and introduces a generalization, called a "double-crossing" method, that provides a workaround to the failure for many interesting cases.
Keywords
Cite
@article{arxiv.0906.3840,
title = {Generalizing Dodgson's method: a "double-crossing" approach to computing determinants},
author = {Deanna Leggett and John Perry and Eve Torrence},
journal= {arXiv preprint arXiv:0906.3840},
year = {2011}
}
Comments
14 pages, 3 figures; corrected some typos