@Article{NMTMA-16-3, author = {Yu, Dongmei and Xuehua, Li and Yinong, Yang and Yu, Dongmei and Han, Deren and Chen, Cairong and Yinong, Yang and Han, Deren and Chen, Cairong}, title = {A New Fixed-Time Dynamical System for Absolute Value Equations}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2023}, volume = {16}, number = {3}, pages = {622--633}, abstract = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2022-0148}, url = {https://global-sci.com/article/90221/a-new-fixed-time-dynamical-system-for-absolute-value-equations} }