期刊文献+

一种解算病态问题的方法——两步解法 被引量:33

A Method for Resolving Ill-conditioned Problems——Two-Step Solution
在线阅读 下载PDF
导出
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。 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.
出处 《武汉大学学报(信息科学版)》 EI CSCD 北大核心 2005年第9期821-824,共4页 Geomatics and Information Science of Wuhan University
基金 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。
关键词 两步解法 正则化参数 L曲线法 岭估计 two-step solution regularization parameter L-curve method ridge estimation
  • 相关文献

参考文献8

  • 1归庆明,李国重.岭—压缩组合估计及其在测量平差中的应用[J].大地测量与地球动力学,2002,22(1):16-21. 被引量:22
  • 2党亚民,陈俊勇,晁定波.大地测量反演模型优化问题的研究[J].地壳形变与地震,1998,18(2):35-40. 被引量:9
  • 3Wang Z. A New Approach to Ill-conditioned Problems in Rapid Positioning Using Single Frequency GPS Receivers. ION GPS/GNSS, 2003. 1229-1239
  • 4Xu P L, Rummel R. A Simulation Study of Smoothness Methods in Recovery of Regional Gravity Fields.Geophys. J. Int., 1994, 117:472-486
  • 5Cicci D A. Improving State Estimate and Predictions in Quick-look Orbit Determiniation Problems Using Ridge-type Estimation Methods. AIAA/AHS Astrodynamics Conference, Portland, Oregon, USA, 1990
  • 6Xu P L. Truncated SVD Methods for Discrete Linear Ill-posed Problems. Geophys. J. Int. , 1998, 135:505-514
  • 7Hansen P C. Analysis of Discrete Ill-posed Problems by Means of the L-curve. SIAM Review, 1992, 34(4): 561-580
  • 8Hansen P C, O'Leary D P. The Use of the L-curve in the Regularization of Discrete Ill-posed Problems. SIAM J. Sci. Comput. , 1993, 14 (6): 1487-1503

二级参考文献2

共引文献27

同被引文献281

引证文献33

二级引证文献194

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部