论文标题

希尔伯特空间中封闭凸锥上周围反射方法的有限收敛

Finite Convergence of Circumcentered-Reflection Method on Closed Convex Cones in Hilbert Spaces

论文作者

Liao, Hongzhi

论文摘要

我们建立了环状反射法(CRM)的有限收敛,以在实际希尔伯特空间中两个封闭凸锥的相交情况。我们应用此结果来证明R^n中两个多面体集的有限收敛性。

We establish finite convergence of circumcentered-reflection method (CRM) for the case of intersection of two closed convex cones in a real Hilbert space. We apply this result to prove the finite convergence for two polyhedral sets in R^n.

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