TY - JOUR
T1 - Two Dynamical Models Based on Projection Operator for Solving the System of Absolute Value Equations Associated with Second-Order Cone
AU - Chen , Cairong
AU - Yu , Dongmei
AU - Han , Deren
AU - Ma , Changfeng
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 259
EP - 284
PY - 2025
DA - 2025/04
SN - 18
DO - http://doi.org/10.4208/nmtma.OA-2024-0069
UR - https://global-sci.org/intro/article_detail/nmtma/23949.html
KW - Absolute value equations, second-order cone, dynamical system, asymptotical stability, equilibrium point.
AB - <p style="text-align: justify;">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.</p>