Research Article
A dynamical system based on projection operator for solving absolute value equations associated with second-order cone
https://doi.org/10.21203/rs.3.rs-2080000/v1
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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 mild conditions, it is proved that the equilibrium points of the dynamical system exist and could be (globally) asymptotically stable. The effectiveness of the proposed method is illustrated by some numerical simulations.
Absolute value equations
Second-order cone
Dynamical system
Asymptotical stability
Equilibrium point
No competing interests reported.
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You are reading this latest preprint version