论文标题
凸的可行性问题的连续的集中式环形反射方法
A successive centralized circumcenter reflection method for the convex feasibility problem
论文作者
论文摘要
在本文中，我们介绍了边缘反射方案的连续集中化，该方案具有几个控制序列，用于解决欧几里得空间中凸的可行性问题。假设标准误差绑定存在，我们证明了该方法的线性收敛，最受侵犯的约束控制序列。在额外的平滑度假设下，我们证明了超线性收敛。数值实验证实了我们方法的效率。
In this paper we present the successive centralization of the circumcenter reflection scheme with several control sequences for solving the convex feasibility problem in Euclidean space. Assuming that a standard error bound holds, we prove the linear convergence of the method with the most violated constraint control sequence. Under additional smoothness assumptions, we prove the superlinear convergence. Numerical experiments confirm the efficiency of our method.
