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Modulus-based synchronous multisplitting iteration methods without auxiliary variable for solving vertical linear complementarity problems

delete2023-12-01
delete6
PRE
AI
H
Hua Zheng
鲁晓萍 (Xiaoping Lu) *
S
Seakweng Vong
DOI:10.1016/j.amc.2023.128248delete
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摘要

摘要

En 中文
In this work, by applying the synchronous multisplitting technique to the non-auxiliary variable modulus equation of the vertical linear complementarity problems, a new parallel method is constructed, which can generalize the existing modulus-based matrix splitting iteration method. The convergence conditions of the proposed method are discussed in the cases of more than two system matrices, and the existing results are improved. Numerical examples under OpenACC framework show that the proposed method can solve the large sparse vertical linear complementarity problems efficiently with high parallel efficiency.
Keyword:
Vertical linear complementarity problem
Multisplitting
Convergence
OpenACC
H-matrix
Parallel

期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

机构

U
University of Macau
学者数:
1.1W
论文数: 1.3W
被引数: 2.0W
S
Shaoguan University
学者数:
977
论文数: 795
被引数: 1.3K
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