解决希尔伯特空间分割相等问题的新优化方法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-04-13 DOI:10.1007/s10898-024-01389-x

Simeon Reich, Truong Minh Tuyen, Nguyen Song Ha

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引用次数: 0

摘要

我们引入了一种新的优化方法来求解实希尔伯特空间中的分割相等问题系统。我们使用惯性法来提高所提算法的收敛速度。我们的算法不依赖于有界线性算子的规范，这些算子出现在所考虑系统的每个分割相等问题中。这也是我们算法的一个优点，因为众所周知，在一般情况下很难计算或估计线性算子的规范。

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A new optimization approach to solving split equality problems in Hilbert spaces

We introduce a new optimization approach to solving systems of split equality problems in real Hilbert spaces. We use the inertial method in order to improve the convergence rate of the proposed algorithms. Our algorithms do not depend on the norms of the bounded linear operators which appear in each split equality problem of the system under consideration. This is also a strong point of our algorithms because it is known that it is difficult to compute or estimate the norm of a linear operator in the general case.

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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.

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