Generalizing Dodgson's method: a "double-crossing" approach to computing determinants

Details Generalizing Dodgson's method: a "double-crossing" approach to computing determinants Generalizing Dodgson's method: a "double-crossing" approach to computing determinants

2009-06-21

arxiv.org/abs/0906.3840v2

College Mathematics Journal, vol. 42 no. 1 (Jan 2011), pp. 43--54

Mathematics

Combinatorics

14 pages, 3 figures; corrected some typos

Scientific paper

10.4169/college.math.j.42.1.043

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.

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