This paper presents the generalized non-stationary multi-splitting algorithm. In a concise con-dition, the generalized non-stationary multi-splitting algorithm must be seminorm convergence. Furthermore , it is quotient convergence. It is the result of [2] to Cao in the promotion of the theorem.% 文章首先给出了广义非定常多分裂算法,并且证明了在一个简洁条件下广义多分裂算法一定半范数收敛,进一步可得到该算法商收敛,该结果是对Cao[2]中结论的推广。
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