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An iteration algorithm of total least squares for linear regression models
Author(s): 
Pages: 85-88
Year: Issue:  9
Journal: Geotechnical Investigation & Surveying

Keyword:  total least squareslinear regressionadjustment modeliteration algorithmsingular value decomposition;
Abstract: According to the characteristics of the linear regression model,an algorithm of total least squares for solving linear regression parameters is derived.And the evaluation of the error of the mean square error of unit weight is discussed.The theoretical derivation shows that the error estimation of the general least squares solution for the conventional linear regression does not tally with the actual mean square error of unit weight,and corresponding corrections are applied.Through example analysis and comparing with conventional total least squares method,the results show the correctness and reliability of the algorithm.
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