隐式互补问题的基于模数的修正两步矩阵分割迭代法

IF 2.6 3区数学

Computational and Applied Mathematics Pub Date : 2024-07-22 DOI:10.1007/s40314-024-02860-x

Lu-Xin Wang, Yang Cao, Qin-Qin Shen, Chen-Can Zhou

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引用次数: 0

摘要

为了进一步加快最近提出的基于修正模数的矩阵分裂（MMMS）迭代法的收敛速度，利用两步迭代法求解隐式互补问题，本文研究了一类基于修正模数的两步矩阵分裂（MTMMS）迭代法。在系统矩阵为正定矩阵或（H_+\）矩阵时，仔细研究了 MTMMS 迭代方法的收敛性分析。最后，介绍了两个数值实验。数值结果表明，所提出的 MTMMS 迭代法的性能远远优于现有的 MMMS 迭代法。

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Modified two-step modulus-based matrix splitting iteration methods for implicit complementarity problems

To further accelerate the convergence rate of the recent proposed modified modulus-based matrix splitting (MMMS) iteration method for solving the implicit complementarity problems, by using the two-step iteration methodology, a class of modified two-step modulus-based matrix splitting (MTMMS) iteration methods are studied in this paper. The convergence analyses of the MTMMS iteration method are carefully studied when the system matrix is a positive definite matrix or an \(H_+\)-matrix. Finally, two numerical experiments are presented. Numerical results show that the proposed MTMMS iteration method performs much better than the existing MMMS iteration method.

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来源期刊

Computational and Applied Mathematics MATHEMATICS, APPLIED-

自引率

11.50%

发文量

352

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.