The study of new fixed-point iteration schemes for solving absolute value equations

被引：1

作者：

Ali, Rashid ^{[1
]}

Zhang, Zhao ^{[1
]}

Awwad, Fuad A. ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Zhejiang, Peoples R China

[2] King Saud Univ, Coll Business Adm, Dept Quantitat Anal, POB 71115, Riyadh 11587, Saudi Arabia

来源：

HELIYON | 2024年 / 10卷 / 14期

关键词：

Absolute value equations; Fixed-point schemes; Convergence theory; Numerical results; COMPLEMENTARITY;

D O I：

10.1016/j.heliyon.2024.e34505

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Absolute value equations (AVEs) play a crucial role in solving various complexities across scientific computing, engineering, management science, and operations research. This article presents two fixed-point iteration schemes designed for such AVEs. Furthermore, we show some convergence conditions under specific circumstances. Lastly, the theoretical findings are validated using numerical examples, which emphasize the distinct advantages offered by the newly developed schemes. These results are highly promising and may stimulate future research in this domain.

引用

页数：9

共 32 条

[1] Solving absolute value equation using complementarity and smoothing functions [J].