About Weighted Observations

The following calculated values are used in the A matrix:

The computed matrices A, P, and L are now plugged into the matrix formula for a system of weighted observations to solve for the X matrix, as stated previously:

This results in the X matrix, that consists of the difference between the current coordinates and the most probable values for the coordinates:

These values are used to revise the coordinate matrix, C. The iteration process continues, recalculating the A, P, and L matrices and solving for the X matrix until the values in the X matrix are negligible.

After the X matrix values have reached the desired limits, the V matrix is calculated. This matrix consists of the residuals after adjustment and is solved for by the following matrix equation:

This results in the V matrix, which appears as follows: