Generalization of Dodgson's "Virtual Center" Method; an Efficient Method for Determinant Calculation
Subject Areas : Applied Mathematics
Elyas Shivanian
1
*
,
Alireza Soleimani
2
1 - Department of Mathematics, Imam Khomeini International
University, Qazvin, 34149-16818, Iran
2 - Faculty of Mathematics, Tarbiat Modares University
Keywords:
Abstract :
Charles Dodgson (1866) introduced a method to calculate matrices determinant, in asimple way. The method was highly attractive, however, if the sub-matrix or the mainmatrix determination is divided by zero, it would not provide the correct answer. Thispaper explains the Dodgson method's structure and provides a solution for the problemof "dividing by zero" called "virtual center".