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

Theory of Approximation and Applications

مقاله 7، دوره 12، شماره 2، پاییز و زمستان 2018، صفحه 83-113  

نوع مقاله: Research Articles

نویسندگان

Elyas Shivanian ¹؛ Alireza Soleimani²

¹Department of Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran

²Faculty of Mathematics, Tarbiat Modares University

چکیده

Charles Dodgson (1866) introduced a method to calculate matrices determinant, in a
simple way. The method was highly attractive, however, if the sub-matrix or the main
matrix determination is divided by zero, it would not provide the correct answer. This
paper explains the Dodgson method's structure and provides a solution for the problem
of "dividing by zero" called "virtual center".

کلیدواژه‌ها

Determinant؛ Matrix center؛ Virtual matrix method؛ Dodgson method