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

Theory of Approximation and Applications

مقالات آماده انتشار، پذیرفته شده ، انتشار آنلاین از تاریخ 28 اسفند 1396  

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".
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".
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