On weighted total least squares adjustment for solving the nonlinear problems
نویسندگان
چکیده
منابع مشابه
Weighted/Structured Total Least Squares problems and polynomial system solving
Weighted and Structured Total Least Squares (W/STLS) problems are generalizations of Total Least Squares with additional weighting and/or structure constraints. W/STLS are found at the heart of several mathematical engineering techniques, such as statistics and systems theory, and are typically solved by local optimization methods, having the drawback that one cannot guarantee global optimality...
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A sequence of least squares problems of the form miny kG 1=2 (A T y ? h)k2 where G is an n n positive deenite diagonal weight matrix, and A an m n (m < n) sparse matrix with some dense columns; has many applications in linear programming, electrical networks, elliptic boundary value problems, and structural analysis. We discuss a technique for forming low-rank correction pre-conditioners for su...
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Total least-squares (TLS) adjustment is used to estimate the parameters in the errors-in-variables (EIV) model. However, its exact solution is rather complicated, and the accuracies of estimated parameters are too difficult to analytically compute. Since the EIV model is essentially a non-linear model, it can be solved according to the theory of non-linear least-squares adjustment. In this cont...
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The total least squares (TLS) method is a successful approach for linear problems if both the system matrix and the right hand side are contaminated by some noise. For ill-posed TLS problems regularization is necessary to stabilize the computed solution. In this paper we summarize two iterative methods which are based on a sequence of eigenproblems. The focus is on efficient implementation with...
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In this paper, we study and analyze the regularized weighted total least squares (RWTLS) formulation. Our regularization of the weighted total least squares problem is based on the Tikhonov regularization. Numerical examples are presented to demonstrate the effectiveness of the RWTLS method.
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ژورنال
عنوان ژورنال: Journal of Geodetic Science
سال: 2014
ISSN: 2081-9943
DOI: 10.2478/jogs-2014-0007