带凸约束的非线性伪单调方程的惯性投影法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-16 DOI:10.1007/s11075-024-01934-5

Jinkui Liu, Ning Zhang, Bing Tang

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引用次数: 0

摘要

基于 Mohammad 和 Abubakar 提出的 DDP 方法，本文利用惯性指数和松弛因子建立了一种惯性投影法，用于求解带凸约束的非线性伪单调方程。该方法在每次迭代时都能产生一个充分的下降方向，它与任何线搜索条件无关。此外，我们还证明了所提方法的全局收敛性，而无需假设目标函数满足 Lipschitz 连续性。通过与一些现有方法的比较，数值结果证明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。

An inertia projection method for nonlinear pseudo-monotone equations with convex constraints

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An inertia projection method for nonlinear pseudo-monotone equations with convex constraints

Based on DDP method proposed by Mohammad and Abubakar, in this paper we use the inertia index and relaxation factor to establish an inertia projection method for solving nonlinear pseudo-monotone equations with convex constraints. This method can generate a sufficient descent direction at each iteration, which is independent of any line search condition. Moreover, we prove the global convergence of the proposed method without assuming that the objective function satisfies the Lipschitz continuity. Numerical results demonstrate the effectiveness of the proposed method by comparing with some existing methods.

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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.