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Generalized SOR-Like Iteration Method for Linear Complementarity Problem
- Source :
- Mathematical Problems in Engineering, Vol 2020 (2020)
- Publication Year :
- 2020
- Publisher :
- Hindawi Limited, 2020.
-
Abstract
- In this paper, we present a generalized SOR-like iteration method to solve the non-Hermitian positive definite linear complementarity problem (LCP), which is obtained by reformulating equivalently the implicit fixed-point equation of the LCP as a two-by-two block nonlinear equation. The convergence properties of the generalized SOR-like iteration method are discussed under certain conditions. Numerical experiments show that the generalized SOR-like method is efficient, compared with the SOR-like method and the modulus-based SOR method.
- Subjects :
- Article Subject
Iterative method
General Mathematics
General Engineering
010103 numerical & computational mathematics
Positive-definite matrix
Engineering (General). Civil engineering (General)
Computer Science::Numerical Analysis
01 natural sciences
Linear complementarity problem
010101 applied mathematics
Nonlinear system
Block (telecommunications)
Convergence (routing)
QA1-939
Applied mathematics
TA1-2040
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 15635147 and 1024123X
- Volume :
- 2020
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....dc3d45f8e27f0fcf7a808557ccf6575f