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Volume 18, Issue 1
Two Dynamical Models Based on Projection Operator for Solving the System of Absolute Value Equations Associated with Second-Order Cone

Cairong Chen, Dongmei Yu, Deren Han & Changfeng Ma

Numer. Math. Theor. Meth. Appl., 18 (2025), pp. 259-284.

Published online: 2025-04

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  • 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.

  • AMS Subject Headings

90C30, 90C33, 65K10

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COPYRIGHT: © Global Science Press

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@Article{NMTMA-18-259, author = {Chen , CairongYu , DongmeiHan , Deren and Ma , Changfeng}, title = {Two Dynamical Models Based on Projection Operator for Solving the System of Absolute Value Equations Associated with Second-Order Cone}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2025}, volume = {18}, number = {1}, pages = {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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2024-0069}, url = {http://global-sci.org/intro/article_detail/nmtma/23949.html} }
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 -

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.

Chen , CairongYu , DongmeiHan , Deren and Ma , Changfeng. (2025). Two Dynamical Models Based on Projection Operator for Solving the System of Absolute Value Equations Associated with Second-Order Cone. Numerical Mathematics: Theory, Methods and Applications. 18 (1). 259-284. doi:10.4208/nmtma.OA-2024-0069
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