From Reachability Matrix to Hierarchical Matrix: Difference between revisions

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(Created page with "The '''Hierarchical Reachability Matrix''' is constructed in order to partition the element set into levels. ==== Process ==== # Two subsets of the element set are construct...")
 
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==== Process ====
==== Process ====
# Two subsets of the element set are constructed for each element e<sub>i</sub>:
# Two subsets of the element set are constructed for each element e<sub>i</sub>:
### The reachability set R<sub>i</sub> which involves all of those elements that are reachable from element e<sub>i</sub>
* The reachability set R<sub>i</sub> which involves all of those elements that are reachable from element e<sub>i</sub>
### An antecedent set A<sub>i</sub> which involves all of those elements that reach element e<sub>i</sub>.
* An antecedent set A<sub>i</sub> which involves all of those elements that reach element e<sub>i</sub>.
In other words for each element e<sub>i</sub> the set R<sub>i</sub> can be determined as the set of elements whose columns have an entry of 1 in row i of the Reachability Matrix.
In other words for each element e<sub>i</sub> the set R<sub>i</sub> can be determined as the set of elements whose columns have an entry of 1 in row i of the Reachability Matrix.

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