Morteza Bayat
‎Department of Mathematics, Zanjan Branch‎, ‎Islamic Azad University‎, ‎Zanjan‎, ‎Iran
[ 1 ] - A New Method for Computing Determinants By Reducing The Orders By Two
In this paper we will present a new method to calculate determinants of square matrices. The method is based on the Chio-Dodgson's condensation formula and our approach automatically affects in reducing the order of determinants by two. Also, using the Chio's condensation method we present an inductive proof of Dodgson's determinantal identity.
[ 2 ] - Solving a System of Linear Equations by Homotopy Analysis Method
In this paper, an efficient algorithm for solving a system of linear equations based on the homotopy analysis method is presented. The proposed method is compared with the classical Jacobi iterative method, and the convergence analysis is discussed. Finally, two numerical examples are presented to show the effectiveness of the proposed method.
نویسندگان همکار