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

Cairong Chen; Changfeng Ma; Deren Han; Dongmei Yu

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

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arxiv 2208.05308 v1 pith:7OTLS4GI submitted 2022-08-10 math.DS math.OC

Cairong Chen , Dongmei Yu , Deren Han , Changfeng Ma This is my paper · ORCID

classification math.DSmath.OC

keywords dynamicalsystemabsoluteassociatedconeequationsoperatorprojection

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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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