Volume 30 Issue 3
Mar.  2005
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GU Yongwei, GUI Qingming, BIAN Shaofeng, GUO Jianfeng. Comparison Between Tikhonov Regularization and Truncated SVD in Geophysics[J]. Geomatics and Information Science of Wuhan University, 2005, 30(3): 238-241.
Citation: GU Yongwei, GUI Qingming, BIAN Shaofeng, GUO Jianfeng. Comparison Between Tikhonov Regularization and Truncated SVD in Geophysics[J]. Geomatics and Information Science of Wuhan University, 2005, 30(3): 238-241.
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Comparison Between Tikhonov Regularization and Truncated SVD in Geophysics

  • 1 Department of Mathematics and Physics, Information Engineering University, 160 Mail-box 2201, Zhengzhou 450001, China;2 Institute of Navigation, Naval University of Engineering, 339 Jiefang Avenue, Wuhan 430033, China3 Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 174 Xudong Road, Wuhan 430077,China

Funds: 国家杰出青年科学基金资助项目(40125013);国家自然科学基金资助项目(40074006)
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  • Received Date: December 11, 2004
  • Revised Date: December 11, 2004
  • Published Date: March 04, 2005
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  • Ill-posed problem often appears in the inverse problem in geophysics. Many regularization methods are used to produce reasonable solutions. Among them, Tikhonov regularization and truncated SVD (Singular Value Decomposition) are two important methods used widely, but how to compare them is a challenging and meaningful area under discussion. The paper discusses the comparison between them. First, with the SVD of coefficients matrix, the ordinary least squares (LS) solu
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