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

IF 1.3 4区数学 Q2 MATHEMATICS, APPLIED Optimization Letters Pub Date : 2024-08-27 DOI:10.1007/s11590-024-02146-5

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

引用次数: 0

Abstract

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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一类垂直张量互补问题的投影定点法

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。

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

Optimization Letters 管理科学-应用数学

CiteScore

3.40

自引率

6.20%

发文量

116

审稿时长

9 months

期刊介绍： Optimization Letters is an international journal covering all aspects of optimization, including theory, algorithms, computational studies, and applications, and providing an outlet for rapid publication of short communications in the field. Originality, significance, quality and clarity are the essential criteria for choosing the material to be published. Optimization Letters has been expanding in all directions at an astonishing rate during the last few decades. New algorithmic and theoretical techniques have been developed, the diffusion into other disciplines has proceeded at a rapid pace, and our knowledge of all aspects of the field has grown even more profound. At the same time one of the most striking trends in optimization is the constantly increasing interdisciplinary nature of the field. Optimization Letters aims to communicate in a timely fashion all recent developments in optimization with concise short articles (limited to a total of ten journal pages). Such concise articles will be easily accessible by readers working in any aspects of optimization and wish to be informed of recent developments.