Step 8: Determining the Update of the Exposed Submatrices
It is now by comparing the state of the exposed submatrices before the update
(Step 6) to the state required after the moving of the double lines
(Step 7) that we determine how the exposed submatrices must be updated.
Compare
.
to
.
Notice that we do not want to compute with any item that has a "hat"
above it, since those represent the original contents of matrix B
, which may or may not have been updated already.
The update
.
has the property that it leaves the variables in the desired state.
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