Two Dynamical Models Based on Projection Operator for Solving the System of Absolute Value Equations Associated with Second-Order Cone
Year: 2025
Author: Cairong Chen, Dongmei Yu, Deren Han, Changfeng Ma
Numerical Mathematics: Theory, Methods and Applications, Vol. 18 (2025), Iss. 1 : pp. 259–284
Abstract
A new equivalent reformulation of the absolute value equations associated with second-order cone (SOCAVEs) is emphasised, from which two dynamical models based on projection operator for solving SOCAVEs are constructed. Under suitable conditions, it is proved that the equilibrium points of the dynamical systems exist and could be (globally) asymptotically stable. The effectiveness of the proposed methods are illustrated by some numerical simulations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2024-0069
Numerical Mathematics: Theory, Methods and Applications, Vol. 18 (2025), Iss. 1 : pp. 259–284
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Absolute value equations second-order cone dynamical system asymptotical stability equilibrium point.