求解单调非线性方程和信号恢复问题的新三项共轭梯度算法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-07-23 DOI:10.1080/00207160.2023.2239947

A. Abubakar, P. Kumam, Jin-kui Liu, Hassan Mohammad, C. Tammer

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引用次数: 0

摘要

本文提出了一种新的求解非线性单调方程的三项投影算法。本文的目的是构造一个求非线性单调方程近似解的有效的竞争性算法。这是基于对满足下降充分条件的共轭梯度方向的一种新的选择。在Lipschitz连续性和所涉及算子单调性条件下，证明了算法的收敛性。数值实验表明，与现有算法相比，该算法所需的迭代次数较少。并将该算法应用于解决信号恢复问题。

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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New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems

This work presents a new three-term projection algorithm for solving nonlinear monotone equations. The paper is aimed at constructing an efficient and competitive algorithm for finding approximate solutions of nonlinear monotone equations. This is based on a new choice of the conjugate gradient direction which satisfies the sufficient descent condition. The convergence of the algorithm is shown under Lipschitz continuity and monotonicity of the involved operator. Numerical experiments presented in the paper show that the algorithm needs a less number of iterations in comparison with existing algorithms. Furthermore, the proposed algorithm is applied to solve signal recovery problems.

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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.