By applying the theories of regularsplitting and weak regularsplitting of matrices to the two considered algorithms, we obtain the weighted max-norm bounds for iterations too.
应用正则分解和弱正则分解理论，我们同样获得了该算法在加权范数意义下的几何收敛性。
2
It is analogous to using "capture groups" in a regular expression to pull out substrings we want, instead of splitting the string in several successive steps to extract the substrings we want.