4.3.3.2 Change of vector types.

All vector components store the full value (type-I). However, local calculations result in different values of those nodes shared by (at least) two processes. The only solution to that problem is an update of those nodes which can be written in terms of two vector type conversions using (4.6) and (4.7) :

$$\underline{{\ensuremath{\color{red}\mathfrak{w}}}}_i \;:=\; A_i ... ...its_{i=1}^p A_i^T R^{-1} \underline{{\ensuremath{\color{red}\mathfrak{w}}}}_i$$ (4.13)