Iterative Method with Inertia for Variational Inequalities on Hadamard Manifolds with Lower Bounded Curvature

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-01 DOI:10.4208/eajam.2023-093.130723

Teng-Teng Yao,Xiao-Qing Jin, Zhi Zhao

引用次数: 0

Abstract

In this paper, we are concerned with solving variational inequalities on Hadamard manifolds, the curvature of which is bounded from below. The underlying vector field is assumed to be continuous and pseudomonotone. By combining the hyperplane projection method and the inertial extrapolation technique, a Halpern-type method is proposed. Under some mild assumptions, global convergence of the proposed algorithm is established. Numerical experiments are reported to show the efficiency of the proposed algorithm.

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具有下限曲率的哈达玛德曲面上变分不等式的惯性迭代法

在本文中，我们关注的是哈达玛流形上的变分不等式求解，这些流形的曲率自下而上是有界的。假设底层矢量场是连续和伪单调的。通过结合超平面投影法和惯性外推法，提出了一种 Halpern 型方法。在一些温和的假设条件下，建立了所提算法的全局收敛性。数值实验报告显示了所提算法的效率。

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.