Convergence of the Gauss-Newton method for convex composite optimization problems under majorant condition on Riemannian manifolds

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-08-09 DOI:10.1016/j.jco.2023.101788

Qamrul Hasan Ansari , Moin Uddin , Jen-Chih Yao

引用次数: 1

Abstract

In this paper, we consider convex composite optimization problems on Riemannian manifolds, and discuss the semi-local convergence of the Gauss-Newton method with quasi-regular initial point and under the majorant condition. As special cases, we also discuss the convergence of the sequence generated by the Gauss-Newton method under Lipschitz-type condition, or under γ-condition.

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黎曼流形上凸复合优化问题的主要条件下高斯-牛顿法的收敛性

本文研究了黎曼流形上的凸复合优化问题，讨论了具有拟正则初始点和主要条件下高斯-牛顿方法的半局部收敛性。作为特殊情况，我们还讨论了在Lipschitz-type条件下或γ-条件下由Gauss-Newton方法生成的序列的收敛性。

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

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.