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本文提出了改善轴对称二维非均匀介质重建中解稳定性的方法,第一,通过迭代算法本身改善解的稳定性;第二,提出一种混合玻恩迭代方法,它既提高解的收效性也改善解的稳定性;第三,通过改变正则化方法中正则化参数来改善解的稳定性我们也研究了最小二乘法中解的稳定性和收敛性给出几个数值例子用于显示这些方法的优越性。
In this paper, a method to improve the solution stability of two-dimensional inhomogeneous media is proposed. Firstly, the stability of the solution is improved by the iterative algorithm itself. Second, a hybrid Born iterative method is proposed to improve the solution stability Also improve the stability of the solution. Third, we can improve the stability of the solution by changing the regularization parameter in the regularization method. We also study the stability and convergence of the solution in the least square method. Several numerical examples are given to show The superiority of these methods.