A New Fixed-Time Dynamical System for Absolute Value Equations

A novel dynamical model with fixed-time convergence is presented to solve the system of absolute value equations (AVEs). Under a mild condition, it is proved that the solution of the proposed dynamical system converges to the solution of the AVEs. Moreover, in contrast to the existing inversion-free dynamical system (C. Chen et al., Appl. Numer. Math. 168 (2021), 170-181), a conservative settling-time of the proposed method is given. Numerical simulations illustrate the effectiveness of the new method.

Automated summary

A novel dynamical model with fixed-time convergence is proposed to solve the system of absolute value equations. Numerical simulations demonstrate the effectiveness of the new method.