论文标题

一个基于投影操作员的动力系统,用于求解与二阶锥体相关的绝对值方程

A dynamical system based on projection operator for solving absolute value equations associated with second-order cone

论文作者

Chen, Cairong, Yu, Dongmei, Han, Deren, Ma, Changfeng

论文摘要

强调了与二阶锥体(SOCAVES)相关的绝对值方程的新的同等重新重新制定,从中构建了基于用于解决Socaves的投影操作员的动力系统。在适当的假设下,动态系统的平衡点存在并且可能(全球)渐近稳定。给出了一些数值模拟以显示所提出方法的有效性。

A new equivalent reformulation of the absolute value equations associated with second-order cone (SOCAVEs) is emphasised, from which a dynamical system based on projection operator for solving SOCAVEs is constructed. Under proper assumptions, the equilibrium points of the dynamical system exist and could be (globally) asymptotically stable. Some numerical simulations are given to show the effectiveness of the proposed method.

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