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math.DS2022★ 11 cited
A fixed-time inverse-free dynamical system for solving the system of absolute value equations
Xuehua Li, Dongmei Yu, Yinong Yang +2
In this paper, an inverse-free dynamical system with fixed-time convergence is presented to solve the system of absolute value equations (AVEs). Under a mild condition, it is prove…
math.DS2022
A dynamical system based on projection operator for solving absolute value equations associated with second-order cone
Cairong Chen, Dongmei Yu, Deren Han +1
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…
math.OC2022★ 6 cited
On finite termination of the generalized Newton method for solving absolute value equations
Jia Tang, Wenli Zheng, Cairong Chen +2
Motivated by the framework constructed by Brugnano and Casulli SIAM J. Sci. Comput. 30: 463--472, 2008, we analyze the finite termination property of the generalized Netwon m…