求解不定最小二乘法问题的可变参数乌泽法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-07-31 DOI:10.1007/s11075-024-01905-w

Lingsheng Meng, Kailiang Xin, Jun Li

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摘要

本文提出了解决不定最小二乘法问题的变参数乌泽法。本文提出的迭代法无条件收敛，其迭代算法和参数设计简单高效。数值实验表明，变参数 Uzawa 方法优于 USSOR 方法（Song，Int. J. Comput. Math. 97，1781-1791 2020）和基于分裂的随机迭代法（Zhang 和 Li，Appl.）

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Variable parameter Uzawa method for solving the indefinite least squares problem

In this paper, the variable parameter Uzawa method is presented to solve the indefinite least squares problem. The proposed iterative method is unconditionally convergent, and its iterative algorithm and parameter designing are simple and efficient. Numerical experiments show that the variable parameter Uzawa method is superior to the USSOR method (Song, Int. J. Comput. Math. 97, 1781–1791 2020) and the splitting-based randomized iterative method (Zhang and Li, Appl. Math. Comput. 446, 127892 2023).

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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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