ON MIXED STRUCTURED TOTAL LEAST SQUARES FOR
PARAMETERS ESTIMATION
1)College of Surveying and Geoinformatics, Tongji University, Shangha 200092
2)Key Laboratory of Modern Engineering Surveying, SBSM, Shanghai 200092
3)Department of Engineering Management, SCCAT, Deyang 618000
Abstract 〗In this contributions we defined the model of mixed structured total least squares according to the mixed least squarestotal least squares and proposed an iterative algorithm for the mixed structured total least squares problems, which solving by the nonlinear least squares adjustment theory. Three numerical examples are given at last,where assumes the errors of elements in observation vector equal ,greater and lesss than the error of independent elements in coefficient matrix ,respectively. It’s shown that the method represented in this paper would be able to estimate the parameters theoretically closer to the true value and attain the more precise mean square error of weight unit than least squares and mixed least squarestotal least squares, especially when the coefficient matrix which holds more errors than observation vector.
