一类垂直张量互补问题的投影定点法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-08-27 DOI:10.1007/s11590-024-02146-5

Shi-Liang Wu, Mei Long, Cui-Xia Li

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引用次数: 0

摘要

本文考虑了一类垂直张量互补问题的数值求解。通过将所涉及的垂直张量互补问题（VTCP）重新表述为等效的投影定点方程，并结合幂 Lipschitz 张量的相关性质，我们提出了一种针对所涉及的垂直张量互补问题的投影定点方法，并讨论了其收敛性质。我们还给出了数值实验来说明所提方法的有效性。

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A projected fixed point method for a class of vertical tensor complementarity problems

In this paper, we consider the numerical solution of a class of vertical tensor complementarity problems. By reformulating the involved vertical tensor complementarity problem (VTCP) as an equivalent projected fixed point equation, together with the relevant properties of the power Lipschitz tensor, we propose a projected fixed point method for the involved VTCP, and discuss its convergence properties. Numerical experiments are given to illustrate the effectiveness of the proposed method.

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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.

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