Author:
Li Cui-Xia, ,Yong Long-Quan,
Abstract
<abstract><p>In this paper, to improve the convergence speed of the block-diagonal and anti-block-diagonal splitting (BAS) iteration method, we design a modified BAS (MBAS) method to obtain the numerical solution of the absolute value equation. Theoretical analysis shows that under certain conditions the MBAS method is convergent. Numerical experiments show that the MBAS method is feasible.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference27 articles.
1. C. X. Li, S. L. Wu, Block-diagonal and anti-block-diagonal splitting iteration method for absolute value equation, In: Simulation tools and techniques, 12th EAI International Conference, SIMUtools 2020, Guiyang, China, 369 (2021), 572–581. doi: 0.1007/978-3-030-72792-5_45.
2. O. L. Mangasarian, A generalized Newton method for absolute value equations, Optim. Lett., 3 (2009), 101–108. doi: 10.1007/s11590-008-0094-5.
3. Z. Z. Bai, X. Yang, On HSS-based iteration methods for weakly nonlinear systems, Appl. Numer. Math., 59 (2009), 2923–2936. doi: 10.1016/j.apnum.2009.06.005.
4. M. Z. Zhu, Y. E. Qi, The nonlinear HSS-like iteration method for absolute value equations, arXiv. Available from: https://arXiv.org/abs/1403.7013v4.
5. J. Rohn, A theorem of the alternatives for the equation $Ax+B|x| = b$, Linear Multilinear A., 52 (2004), 421–426. doi: 10.1080/0308108042000220686.
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献