一种解算病态问题的方法——两步解法

基金项目: 国家自然科学基金资助项目(40474009)；中国科学院百人计划资助项目

详细信息

A Method for Resolving Ill-conditioned Problems——Two-Step Solution

¹ School of Architectural Engineering, Shandong University of Technology, 12 Zhangzhou Road, Zhangdian District, Zibo 255049, China;² Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 174 Xudong Road, Wuhan 430077, China

摘要: 提出了一种解算病态问题的方法———两步解法。在两步计算中,均采用L曲线法来确定正则化参数α。通过算例,比较了该方法和LS估计、岭估计及截断奇异值方法的效果。结果表明,该方法要明显优于LS估计、岭估计及截断奇异值法。
- 两步解法 /
- 正则化参数 /
- L曲线法 /
- 岭估计
Abstract: In this paper, a resolution methods of ill-posed problems based on the Tikhonov regularization theory is studied, and a method of two-step solution is proposed. The purpose of two-step solution is to choose a more appropriate regularizer than that of the ridge estimation. This paper utilizes L-curve method to determine the regularization parameter in the (above) two computation steps.
- two-step solution /
- regularization parameter /
- L-curve method /
- ridge estimation