Generalization of Dodgson's "Virtual Center" Method; an Efficient Method for Determinant Calculation

محورهای موضوعی : Applied Mathematics

Elyas Shivanian ¹ (Department of Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran)
Alireza Soleimani ² (Faculty of Mathematics, Tarbiat Modares University)

تاریخ دریافت : 1395/10/30 تاریخ پذیرش : 1396/12/28 تاریخ انتشار : 1397/09/10

کلید واژه: Dodgson method, Virtual matrix method, Determinant, Matrix center,

چکیده مقاله :

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".