Title of article :
Generalization of Dodgson’s ”Virtual Center” Method; an Efficient Method for Determinant Calculation
Author/Authors :
Shivanian, Elyas Department of Applied Mathematic - Faculty of Science - Imam Khomeini International University , Soleimani, Alireza Faculty of Mathematics - Tarbiat Modares University
Abstract :
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”.
Keywords :
Determinant , Matrix center , Virtual matrix method , Dodgson method
Journal title :
نظريه تقريب و كاربردهاي آن