Results 241 to 250 of about 9,298,099 (293)
Some of the next articles are maybe not open access.
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
openaire +2 more sources
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
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
A modified iterative algorithm for the weighted total least squares
Acta Geodaetica et Geophysica, 2020In this paper first, the method used for solving the weighted total least squares is discussed in two cases; (1) The parameter corresponding to the erroneous column in the design matrix is a scalar, model $$({\mathbf{H}} + {\mathbf{G}})^{T} {\mathbf{r}} + \delta \, = {\mathbf{q}} + {\mathbf{e}}$$, (2) The parameter corresponding to the erroneous column
Younes Naeimi, Behzad Voosoghi
openaire +1 more source
Location and estimation of multiple outliers in weighted total least squares
Measurement, 2021Abstract Although the weighted total least squares (WTLS) adjustment is a rigorous method for estimating parameters in errors-in-variables (EIV) models, its solution is unreliable if the design matrix and/or observations contain multiple outliers.
Jianmin Wang +3 more
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
On weighted total least-squares adjustment for linear regression
Journal of Geodesy, 2007The weighted total least-squares solution (WTLSS) is presented for an errors-in-variables model with fairly general variance–covariance matrices. In particular, the observations can be heteroscedastic and correlated, but the variance–covariance matrix of the dependent variables needs to have a certain block structure.
Burkhard Schaffrin, Andreas Wieser
openaire +1 more source
An iterative solution of weighted total least-squares adjustment
Journal of Geodesy, 2010Total 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 ...
Yunzhong Shen, Bofeng Li, Yi Chen
openaire +1 more source