球面梯度投影法、互补问题和共正性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-16 DOI:10.1007/s10898-024-01390-4

Orizon Pereira Ferreira, Yingchao Gao, Sándor Zoltán Németh, Petra Renáta Rigó

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引用次数: 0

摘要

通过使用恒定步长，提出了封闭球凸集的球面梯度投影法的收敛性分析。该算法可用于讨论算子关于圆锥的共存性。这种方法也可用于分析非线性圆锥互补问题的可解性。据我们所知，这是第一种与正半定锥的算子共存性有关的数值方法。此外，还提供了有关算子共存性的数值结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Gradient projection method on the sphere, complementarity problems and copositivity

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Gradient projection method on the sphere, complementarity problems and copositivity

By using a constant step-size, the convergence analysis of the gradient projection method on the sphere is presented for a closed spherically convex set. This algorithm is applied to discuss copositivity of operators with respect to cones. This approach can also be used to analyse solvability of nonlinear cone-complementarity problems. To our best knowledge this is the first numerical method related to the copositivity of operators with respect to the positive semidefinite cone. Numerical results concerning the copositivity of operators are also provided.

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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.