求解绝对值方程的一般不精确不动点迭代法

A General Inexact Fixed Point Iteration Method for Solving Absolute Value Equation

摘要: 不动点迭代法是求解绝对值方程的一种有效方法，为了提高计算效率，在不动点迭代法的基础上，利用 矩阵分裂，提出了一种一般形式下的不精确不动点迭代法。在合理的条件下，证明了该方法的收敛性。 最后，通过数值例子验证了该方法的有效性和可行性。

Abstract: The fixed point iteration method is an effective method to solve the absolute value equa- tion. In order to improve the computational efficiency, an inexact fixed point iteration method in general form is proposed by using matrix splitting on the basis of fixed point iteration method. Under reasonable conditions, the convergence of the proposed method is proved. Finally, a numerical example is given to verify the effectiveness and feasibility of the proposed method.