Results 141 to 150 of about 447,526 (198)
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Multivariate Weighted Total Least Squares Based on the Standard Least-Squares Theory
Journal of Surveying Engineering, 2023Optical and Laser Remote ...
Saeid Gholinejad, Alireza Amiri-Simkooei
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On the weighting method for mixed least squares–total least squares problems
Numerical Linear Algebra with Applications, 2017SummaryIt is well known that the standard algorithm for the mixed least squares–total least squares (MTLS) problem uses the QR factorization to reduce the original problem into a standard total least squares problem with smaller size, which can be solved based on the singular value decomposition (SVD).
Qiaohua Liu, Minghui Wang
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On weighted total least-squares for geodetic transformations
Journal of Geodesy, 2011In this contribution, it is proved that the weighted total least-squares (WTLS) approach preserves the structure of the coefficient matrix in errors-in-variables (EIV) model when based on the perfect description of the dispersion matrix. To achieve this goal, first a proper algorithm for WTLS is developed since the quite recent analytical solution for ...
Vahid Mahboub, Mohammad Ali Sharifi
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Enhancement of Computational Efficiency for Weighted Total Least Squares
Journal of Surveying Engineering, 2021AbstractWeighted total least-squares (WTLS) adjustment is a rigorous method used for estimating parameters in the errors-in-variables (EIV) model.
Jianmin Wang +3 more
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Survey Review, 2016
A mixed weighted least squares (WLS) and weighted total least squares (WTLS) (mixed WLS–WTLS) method is presented for an errors-in-variables (EIV) model with some fixed columns in the design matrix. The numerical computational scheme and an approximate accuracy assessment method are also provided.
Y. Zhou, X. Fang
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A mixed weighted least squares (WLS) and weighted total least squares (WTLS) (mixed WLS–WTLS) method is presented for an errors-in-variables (EIV) model with some fixed columns in the design matrix. The numerical computational scheme and an approximate accuracy assessment method are also provided.
Y. Zhou, X. Fang
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Iterative algorithm for weighted total least squares adjustment
Survey Review, 2013In this contribution, an iterative algorithm is developed for parameter estimation in a nonlinear measurement error model y2e5(A2EA)x, which is based on the complete description of the variance–covariance matrices of the observation errors e and of the coefficient matrix errors EA without any restriction, e.g.
S. Jazaeri +2 more
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Weighted total least-squares joint adjustment with weight correction factors
Communications in Statistics - Simulation and Computation, 2018A joint adjustment involves integrating different types of geodetic datasets, or multiple datasets of the same data type, into a single adjustment.
Leyang Wang, Hang Yu
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On the Weighted Total Least Squares Solutions
2014Nowadays the terminology Total Least Squares (TLS) is frequently used as a standard name of the estimation method for the errors-in-variables (EIV) model. Although a significant number of contribution have been published to adjust the EIV model, the computational advantages of the TLS problem are still largely unknown.
X. Fang, H. Kutterer
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Weighted total least squares applied to mixed observation model
Survey Review, 2016This contribution presents the weighted total least squares (WTLS) formulation for a mixed errors-in-variables (EIV) model, generally consisting of two erroneous coefficient matrices and two erroneous observation vectors. The formulation is conceptually simple because it is formulated based on the standard least squares theory.
A. R. Amiri-Simkooei +2 more
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