The accurate assessment of soil erosion is key to assess environmental parameters, such as
the reduction in soil fertility, the increase in flood risk, the loss of nutrients, and degradation …

To obtain more accurate formulas for precision estimation and to continue work on the
adjustment of total least squares (TLS), the second-order approximation function method for …

The errors-in-variables (EIV) model is a nonlinear model, the parameters of which can be
solved by singular value decomposition (SVD) method or the general iterative algorithm …

The differential is replaced by the Sterling interpolation method with a finite difference,
without calculating the first and second derivatives of the nonlinear function. The mean and …

In this contribution, an improved Extended Kalman Filter (EKF), named the Total Extended
Kalman Filter (TEKF) is proposed for integrated navigation. It can consider the neglected …

In this paper, a nonlinear dynamic errors-in-variables (DEIV) model which considers all of
the random errors in both system equations and observation equations is presented. The …

An applicable algorithm for Total Kalman Filter (TKF) approach is proposed. Meanwhile, we
extend it to the case in which we can consider arbitrary weight matrixes for the observation …

A weighted least-squares (WLS) solution to a 3-D non-linear symmetrical similarity
transformation within a Gauss-Helmert (GH) model, and/or an errors-in-variables (EIV) …

The classical Least-Squares (LS) adjustment has been widely used in processing and
analysing observations from Global Satellite Navigation System (GNSS). However, in …

针对多项式拟合模型系数矩阵中部分元素是某一自变量的函数的特点, 根据Partial EIV
模型的解算思想, 将系数矩阵中自变量的函数作为随机元素提取, 顾及泰勒展开的二阶项 …