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With this stopping criterion, our adaptive reordered method would stop at the appropriate time, which both reduces the dimension of the linear system to be solved and saves the excessive expense of the recursively reordering procedure.
Table 1 shows b and the time spent on the reordering step of the two methods applied on the two matrices.
Comparing to the original reordered method [13], we bring in an effective stopping criterion which can both get rid of the overhead brought by the recursively reordering procedure and keep its fast computational speed.