“…Thus, the a priori information forms a data equation similar to the measurement equation, and it is considered as an additional measurement. The square root information pair and the existing measurements are put in the following form and orthogonal transformation is applied to obtain the Least-square (LS) solution (6) where T is the Householder transformation matrix, e(k) is a sequence of residuals. Since, e(k), the residuals are available from the previous cycle (or the initial conditions); separate the e(k) into e x (k), and e y (k) and obtain the following derivatives: (…”