Solving Equations for Derived Graph
For the head node of an interval of the derived graph, compute:
XbM = &prodi &isin &Gamma^-1 b YbM
Then, for each node c in the interval, update its output vector:
YcM = XbM · YcM + X_bM · Y_c^m
As this process is continued through levels of the derived graph, eventually it terminates because the top level is a single node whose inputs XeM = 0 are known because it is the entry block.
The algorithm can be viewed as updating the minimal and maximal available vectors until they become the same. By using the derived graphs, the updating is done efficiently.
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