TY - A2的帝国,西缅盟——Dessalew Gashaye AU - Kebede, Tesfaye AU - Awgichew, Gurju AU - Walelign, Assaye PY - 2021 DA - 2021/06/01 TI - Generalized Refinement of Gauss-Seidel Method for Consistently Ordered 2-Cyclic Matrices SP - 8343207 VL - 2021 AB - This paper presents generalized refinement of Gauss-Seidel method of solving system of linear equations by considering consistently ordered 2-cyclic matrices. Consistently ordered 2-cyclic matrices are obtained while finite difference method is applied to solve differential equation. Suitable theorems are introduced to verify the convergence of this proposed method. To observe the effectiveness of this method, few numerical examples are given. The study points out that, using the generalized refinement of Gauss-Seidel method, we obtain a solution of a problem with a minimum number of iteration and obtain a greater rate of convergence than other previous methods. SN - 1085-3375 UR - https://doi.org/10.1155/2021/8343207 DO - 10.1155/2021/8343207 JF - Abstract and Applied Analysis PB - Hindawi KW - ER -