Modified general splitting method for the split feasibility problem

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-07-10 DOI:10.1007/s10898-024-01399-9

Seakweng Vong, Zhongsheng Yao

引用次数: 0

Abstract

Based on the equivalent optimization problems of the splitting feasibility problem, we investigate this problem by using modified general splitting method in this paper. One is a relaxation splitting method with linearization, and the other combines the former with alternated inertial extrapolation step. The strong convergence of our algorithms is analyzed when related parameters are properly chosen. Compared with most existing results where inertial factor must be less than 1, inertial factor can be taken 1 in our alternated inertial-type algorithm. The efficiency of our methods are illustrated by some numerical examples.

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分割可行性问题的修正一般分割法

基于拆分可行性问题的等效优化问题，我们在本文中使用修正的一般拆分方法来研究这一问题。一种是带线性化的松弛分裂法，另一种是将前者与交替惯性外推步骤相结合。在相关参数选择适当的情况下，分析了我们算法的强收敛性。与大多数惯性因子必须小于 1 的现有结果相比，在我们的交替惯性型算法中，惯性因子可以取 1。通过一些数值示例说明了我们方法的效率。

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.