Modified general splitting method for the split feasibility problem

IF 1.8 3区数学 Q1 Mathematics

Journal of Global Optimization 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

Journal of Global Optimization 数学-应用数学

CiteScore

0.10

自引率

5.60%

发文量

137

审稿时长

6 months

期刊介绍： The Journal of Global Optimization publishes carefully refereed papers that encompass theoretical, computational, and applied aspects of global optimization. While the focus is on original research contributions dealing with the search for global optima of non-convex, multi-extremal problems, the journal’s scope covers optimization in the widest sense, including nonlinear, mixed integer, combinatorial, stochastic, robust, multi-objective optimization, computational geometry, and equilibrium problems. Relevant works on data-driven methods and optimization-based data mining are of special interest. In addition to papers covering theory and algorithms of global optimization, the journal publishes significant papers on numerical experiments, new testbeds, and applications in engineering, management, and the sciences. Applications of particular interest include healthcare, computational biochemistry, energy systems, telecommunications, and finance. Apart from full-length articles, the journal features short communications on both open and solved global optimization problems. It also offers reviews of relevant books and publishes special issues.