Analysis of a generalized MASSOR method for saddle point problems

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-03-06 DOI:10.1016/j.cam.2025.116626

Changfeng Ma , Xiaojuan Yu

引用次数: 0

Abstract

In this work, we establish a generalized MASSOR (GMASSOR) method for solving saddle point problems. The proposed method can be used to both nonsingular and singular cases. In addition, we deduce the convergence and semi-convergence of the GMASSOR method under the appropriate constraints on the iteration parameters. Numerical results are given to verify the effectiveness of the proposed method.

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在这项工作中，我们建立了一种解决鞍点问题的广义 MASSOR（GMASSOR）方法。所提出的方法既可用于非奇异情况，也可用于奇异情况。此外，在迭代参数的适当约束下，我们推导出了 GMASSOR 方法的收敛性和半收敛性。给出的数值结果验证了所提方法的有效性。

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 Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.