which is the inverse of:

and that renders the exact precision of Wolf's analytic solution:

to Helmert's problem:

which canonical form can always be achieved, for example, through performing a generalized Canonical Correlation Analysis (gCCA) on the observation errors. It would though be advantageous to find a most meaningful way of clustering the data into mutually uncorrelated blocks which would then make the best sense also physically.

** This semi-analytic inversion is known in Geodesy as the Helmert-Wolf blocking
(HWB) method and
it is
central
to Satellite Geodesy.
The LCM formula above is seminal to the Fast
K-
Filtering (FKF) method which, in turn, is a "must"
to all mobile positioning, navigation, forecasting and control appliances as well as
to Numerical Weather Prediction
(NWP)
systems that comply with the highest precision, integrity and safety rules and standards.
**