A new relaxed acceleration two-sweep modulus-based matrix splitting iteration method for solving linear complementarity problems

被引：2
|
作者：
Yu, Dongmei [1 ]
Zhang, Yiming [1 ]
Chen, Cairong [2 ,3 ]
Han, Deren [4 ]
机构：
[1] Liaoning Tech Univ, Inst Optimizat & Decis Analyt, Fuxin 123000, Peoples R China
[2] Fujian Normal Univ, FJKLMAA, Sch Math & Stat, Fuzhou 350007, Peoples R China
[3] Fujian Normal Univ, Ctr Appl Math Fujian Prov, Fuzhou 350007, Peoples R China
[4] Beihang Univ, Sch Math Sci, Minist Educ, LMIB, Beijing 100191, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 06期
基金：
中国国家自然科学基金;
关键词：
linear complementarity problem; relaxation; acceleration; modulus-based matrix splitting iteration method; convergence analysis; MULTISPLITTING METHODS; CONVERGENCE; SEMISMOOTH; THEOREMS;
D O I：
10.3934/math.2023677
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new relaxed acceleration two-sweep modulus-based matrix splitting (NRATMMS) iteration method is developed to solve linear complementarity problems. The convergence of the NRATMMS method is established with the system matrix A being an H+-matrix. Numerical experiments show that the proposed method is superior to some existing algorithms under appropriate conditions.
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页码：13368 / 13389
页数：22
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