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《Science of Surveying and Mapping》 2004-01
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Ill conditioning diagnostics based on sensitivity analysis

GUO Jan-feng, GUI Qing-ming ( Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China; Institute of Science, Information Engineering University, Zhengzhou 450001, China)  
The resarch on covering the bad effects of ill conditioning to obtain more accurate and stable estimation of the unknown parameters is important in surveying engineering data processing field.So the ill-conditioning diagnostics should be studied firstly.Since ill conditioning is concerned with the sensitivity (or insensitivity) of a given relation to perturbations in underlying data, a new diagnostic technique is proposed, which is based on the sensitivity analysis of the inverse matrix of the normal matrix, the MSE and the "length" of the LS estimator to the design matrix.
【Fund】: 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 40274001)
【CateGory Index】: P228.4
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