论文标题
有限常规系统的收敛速率
Convergence Rates for Boundedly Regular Systems
论文作者
论文摘要
在这项工作中，我们考虑了与Boţ＆Csetnek（2015）最初研究的非专业运算符的固定点集相关的连续动力系统。当非专业操作员满足额外的规律性属性时，我们的主要结果确定了系统轨迹的收敛率。这种设置是在Bauschke，Noll＆Phan（2015）和Borwein，Li＆Tam（2017）中使用相同的规律性属性中自然的连续时间类似物。
In this work, we consider a continuous dynamical system associated with the fixed point set of a nonexpansive operator which was originally studied by Boţ & Csetnek (2015). Our main results establish convergence rates for the system's trajectories when the nonexpansive operator satisfies an additional regularity property. This setting is the natural continuous-time analogue to discrete-time results obtained in Bauschke, Noll & Phan (2015) and Borwein, Li & Tam (2017) by using the same regularity properties.
