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Generalization of Dodgson's "Virtual Center" Method; an Efficient Method for Determinant Calculation | ||
Theory of Approximation and Applications | ||
مقاله 7، دوره 12، شماره 2، اسفند 2018، صفحه 83-113 اصل مقاله (337.75 K) | ||
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 | ||
آمار تعداد مشاهده مقاله: 265 تعداد دریافت فایل اصل مقاله: 115 |