Volume 40 Issue 10
Oct.  2015
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ZENG Xiaoniu, LIU Daizhi, LI Xihai, SU Juan, CHEN Dingxin, QI Wei. An Improved Singular Value Modification Method for Ill-posed Problems[J]. Geomatics and Information Science of Wuhan University, 2015, 40(10): 1349-1353. DOI: 10.13203/j.whugis20130709
Citation: ZENG Xiaoniu, LIU Daizhi, LI Xihai, SU Juan, CHEN Dingxin, QI Wei. An Improved Singular Value Modification Method for Ill-posed Problems[J]. Geomatics and Information Science of Wuhan University, 2015, 40(10): 1349-1353. DOI: 10.13203/j.whugis20130709
shu

An Improved Singular Value Modification Method for Ill-posed Problems

  • School of Primary Command, The Second Artillery Engineering University, Xi'an 710025, China

Funds: The National Natural Science Foundation of China, Nos. 41171351, 61302195.
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  • Received Date: November 25, 2013
  • Published Date: October 04, 2015
    Graphical Abstract
    • Abstract
  • Based on the relationship between the Gaussian and Tikhonov filter functions, we choose the Gaussian filter function as the regularization matrix, and propose an improved singular values modification method for ill-posed problem, we term it the Tikhonov-Gaussian method. Simulation results from the downward continuation of the model gravity data show that the improved singular values modification method has significant quality advantages in comparison to the standard Tikhonov method.
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    • References (20)
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