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Volume 16, Issue 3
A New Fixed-Time Dynamical System for Absolute Value Equations

Xuehua Li, Dongmei Yu, Yinong Yang, Deren Han & Cairong Chen

DOI: 10.4208/nmtma.OA-2022-0148

Numer. Math. Theor. Meth. Appl., 16 (2023), pp. 622-633.

Published online: 2023-08

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  • 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.

  • Keywords

Absolute value equation, fixed-time convergence, dynamical system, numerical simulation.

  • AMS Subject Headings

90C33, 65K05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{NMTMA-16-622, author = {Li , XuehuaYu , DongmeiYang , YinongHan , 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 = {http://global-sci.org/intro/article_detail/nmtma/21960.html} }
TY - JOUR T1 - A New Fixed-Time Dynamical System for Absolute Value Equations AU - Li , Xuehua AU - Yu , Dongmei AU - Yang , Yinong AU - Han , Deren AU - Chen , Cairong JO - Numerical Mathematics: Theory, Methods and Applications VL - 3 SP - 622 EP - 633 PY - 2023 DA - 2023/08 SN - 16 DO - http://doi.org/10.4208/nmtma.OA-2022-0148 UR - https://global-sci.org/intro/article_detail/nmtma/21960.html KW - Absolute value equation, fixed-time convergence, dynamical system, numerical simulation. AB -

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.

Li , XuehuaYu , DongmeiYang , YinongHan , Deren and Chen , Cairong. (2023). A New Fixed-Time Dynamical System for Absolute Value Equations. Numerical Mathematics: Theory, Methods and Applications. 16 (3). 622-633. doi:10.4208/nmtma.OA-2022-0148
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