Two-Step Modulus-Based Synchronous Multisplitting Iteration Methods for Nonlinear Complementarity Problems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-06-01 DOI:10.4208/eajam.200721.250122

Gui-Lin Yan, Yujiang Wu, Ai-Li Yang, Sulieman A. S. Jomah

引用次数: 0

Abstract

. Two-step modulus-based synchronous multisplitting and symmetric modulus-based synchronous multisplitting accelerated overrelaxation iteration methods are developed for solving large sparse nonlinear complementarity problems. The methods are based on the reformulation of the corresponding problem as a series of equivalent implicit ﬁxed-point equations. This approach includes existing algorithms as special cases and present new models. The convergence of the methods is studied in the case of H + system matrices. Numerical results conﬁrm the efﬁciency of the methods proposed.

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非线性互补问题的两步模同步多分裂迭代方法

．提出了求解大型稀疏非线性互补问题的两步模同步多分裂和对称模同步多分裂加速超松弛迭代方法。该方法基于将相应问题重新表述为一系列等价的隐式不动点方程。该方法将现有算法作为特例，并提出新的模型。在H +体系矩阵的情况下，研究了这些方法的收敛性。数值结果证实了所提方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.