A Class of Modified Schemes and Convergence Analysis for the Iterative Method for Solving Equation
In this paper,we study a class of modified schemes and convergence of iterative methods for solving equations.Firstly,by introducing the multiplier function λ and using the Taylor expansion,the modified format of the general iterative method is established and its convergence is analyzed.The conditions of the global convergence and local convergence of the modified scheme are given.On this basis,through error compensation,the acceleration formula of the modified iterative method is obtained to ensure that the sensitivity of the general iterative formula to the initial value selection is reduced with high accuracy.
万方数据
维普
