中文摘要：

在这份报纸，一个概括扩充 Lagrangian 连续的在松驰上(GAL-SOR ) 重复方法为解决从分布式的控制问题产生的僵绳点系统被介绍。GAL-SOR 方法的集中性质详细被学习。而且 0 < 1 并且 Q = 1/r 我，光谱为 preconditioned 矩阵的性质被分析。数字实验证明如果从分布式的控制问题的集体矩阵不对逆容易，规则化参数是很小的， GAL-SOR 重复方法能工作很好。 '

英文摘要：

In this paper, a generalized augmented Lagrangian-successive over-relaxation （GAL- SOR） iteration method is presented for solving saddle-point systems arising from distributed control problems. The convergence properties of the GAL-SOR method are studied in the spectral properties for the precondidetail. Moreover, when0 ≤ω≤ 1 and Q=1/γI , tioned matrix are analyzed. Numerical experiments show that if the mass matrix from the distributed control problems is not easy to inverse and the regularization parameter β is very small, the GAL-SOR iteration method can work well.