1
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran
2
Department of Mathematics, Zanjan University, Zanjan, Iran
Abstract
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.
Bayat, M., & Khatami, Z. (2013). Solving a System of Linear Equations by Homotopy Analysis Method. Caspian Journal of Mathematical Sciences, 2(1), 77-84.
MLA
M. Bayat; Z. Khatami. "Solving a System of Linear Equations by Homotopy Analysis Method". Caspian Journal of Mathematical Sciences, 2, 1, 2013, 77-84.
HARVARD
Bayat, M., Khatami, Z. (2013). 'Solving a System of Linear Equations by Homotopy Analysis Method', Caspian Journal of Mathematical Sciences, 2(1), pp. 77-84.
VANCOUVER
Bayat, M., Khatami, Z. Solving a System of Linear Equations by Homotopy Analysis Method. Caspian Journal of Mathematical Sciences, 2013; 2(1): 77-84.