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

doi:10.4208/nmtma.OA-2024-0069

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

^*Corresponding author for this work

School of Mathematical Sciences

Fujian Normal University
Liaoning Technical University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	259-284
Number of pages	26
Journal	Numerical Mathematics
Volume	18
Issue number	1
DOIs	https://doi.org/10.4208/nmtma.OA-2024-0069
State	Published - Feb 2025

Keywords

Absolute value equations
asymptotical stability
dynamical system
equilibrium point
second-order cone

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10.4208/nmtma.OA-2024-0069

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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.",

keywords = "Absolute value equations, asymptotical stability, dynamical system, equilibrium point, second-order cone",

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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.

KW - Absolute value equations

KW - asymptotical stability

KW - dynamical system

KW - equilibrium point

KW - second-order cone

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JO - Numerical Mathematics

JF - Numerical Mathematics

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ER -

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

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Keywords

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