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

الموضوعات : 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

تاريخ الإرسال : 21 الخميس , ربيع الثاني, 1438 تاريخ التأكيد : 02 الإثنين , رجب, 1439 تاريخ الإصدار : 23 السبت , ربيع الأول, 1440

الکلمات المفتاحية: Dodgson method, Virtual matrix method, Determinant, Matrix center,

ملخص المقالة :

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".