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A new matrix splitting generalized iteration method for linear complementarity problems

delete2024-03-01
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PRE
AI
R
Rashid Ali
A
Ali Akgül *
DOI:10.1016/j.amc.2023.128378delete
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Abstract

Abstract

En 中文
The linear complementarity problems (LCPs) can be encountered in various scientific computing, management science, and operations research. In this study, we introduce and analyze a new generalized accelerated overrelaxation (NGAOR) method for solving LCPs, in which one special case reduces to a new generalized successive overrelaxation (NGSOR) method. Moreover, we prove the convergence of the proposed methods when the system matrix is an H-matrix (irreducible or strictly diagonally dominant matrix). Numerical results for several experiments are present to show the effectiveness and efficiency of the proposed methods. AMS classification: 65F10, 90C33
Keywords:
Linear complementarity problems
Iteration methods
Matrix decomposition
Convergence
H-matrix

Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

S
Siirt University
Scholars:
670
Papers: 918
Citations: 11
Z
Zhejiang Normal University
Scholars:
1.3W
Papers: 8.4K
Citations: 1.2W