| In natural science and engineering,linear equations are widely used.For example,in a certain background of the field of optics,the solution of the problem is usually converted to solving linear equations.In this paper,we first establish an iterative scheme for solving linear equations,and prove that under some conditions,the solution sequence generated by the iterative scheme converges to the solution of the original system.In order to solve the iterative format more conveniently,this paper designs an input and output program,which is independent of the structure of the original system.By this method,the solution of the system and the accuracy of the iteration can be returned as long as the relevant data of the system are input.At the end of the paper,the linear equations of different structures are randomly generated.By solving the linear equations,the feasibility of the iterative scheme and the input and output program is demonstrated. |
