حل یک دستگاه از معادلات خطی با روش آنالیز هموتوپی

‎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.‎

Keywords:

‎Homotopy analysis method‎ , ‎System of Linear Equations‎ , ‎Jacobi iterative‎ ‎method