Solving a System of Linear Equations by Homotopy Analysis Method

Abstract

‎In this paper‎, ‎an efficient algorithm for solving a system of linear‎ <br />‎equations based on the homotopy analysis method is presented‎. ‎The‎ <br />‎proposed method is compared with the classical Jacobi iterative‎ <br />‎method‎, ‎and the convergence analysis is discussed‎. ‎Finally‎, ‎two‎ <br />‎numerical examples are presented to show the effectiveness of the‎ <br />‎proposed method.‎