Methods for Improving the Solution Stability in the Reconstruction of Inhomogeneous Media

Nie Zaiping

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Methods for Improving the Solution Stability in the Reconstruction of Inhomogeneous Media

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- Methods for Improving the Solution Stability in the Reconstruction of Inhomogeneous Media
- Acta Electronica Sinica Issue 9, Pages: 1-6(1998)
- 作者机构：
  
  1.   华中理工大学!武汉
  2.   430074
  3.   电子科技大学!成都
  4.   610054
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN011
- Published：1998
- 稿件说明：
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[1]张业荣,聂在平,漆兰芬.改善非均匀介质重建中解稳定性的方法[J].电子学报,1998(09):1-6.

Nie Zaiping. Methods for Improving the Solution Stability in the Reconstruction of Inhomogeneous Media[J]. Acta Electronica Sinica, 1998, (9): 1-6.
[1]张业荣,聂在平,漆兰芬.改善非均匀介质重建中解稳定性的方法[J].电子学报,1998(09):1-6. DOI：

Nie Zaiping. Methods for Improving the Solution Stability in the Reconstruction of Inhomogeneous Media[J]. Acta Electronica Sinica, 1998, (9): 1-6. DOI：

摘要

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。

Abstract

Some methods are suggested for improving the stability and convergence of thc solution in the inversion methods applied to the reconstruction of tww-dimensionaI axisymmetric inhomogeneous media. First

the stability of solution is improved by the iterative method itself; Second

a hybrid Born iterative methed is protw for improving the stability of solution and enhancing the convergence speed inthe inversion methed; Third

the stability of solution is improved by changing the regularization parameters in the regularization method. The stability and convergence of the solution in the least squarc method are investigated. Several examples are presented to show the superiority of these methods.

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