A class of improved conjugate gradient methods for nonconvex unconstrained optimization

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-12-08 DOI:10.1002/nla.2482

Qingjie Hu, Hongrun Zhang, Zhijuan Zhou, Yu Chen

引用次数: 0

Abstract

In this paper, based on a new class of conjugate gradient methods which are proposed by Rivaie, Dai and Omer et al. we propose a class of improved conjugate gradient methods for nonconvex unconstrained optimization. Different from the above methods, our methods possess the following properties: (i) the search direction always satisfies the sufficient descent condition independent of any line search; (ii) these approaches are globally convergent with the standard Wolfe line search or standard Armijo line search without any convexity assumption. Moreover, our numerical results also demonstrated the efficiencies of the proposed methods.

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非凸无约束优化的一类改进共轭梯度方法

本文在Rivaie、Dai和Omer等人提出的一类新的共轭梯度方法的基础上，提出了一类改进的非凸无约束优化共轭梯度方法。与上述方法不同，我们的方法具有以下性质：（i）搜索方向总是满足与任何直线搜索无关的充分下降条件；（ii）在没有任何凸性假设的情况下，这些方法与标准Wolfe线搜索或标准Armijo线搜索是全局收敛的。此外，我们的数值结果也证明了所提出的方法的有效性。

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

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.