Journal
NUMERICAL ALGORITHMS
Volume 82, Issue 4, Pages 1377-1394Publisher
SPRINGER
DOI: 10.1007/s11075-019-00660-7
Keywords
Implicit complementarity problem; Modulus method; Matrix splitting; Convergence
Categories
Funding
- National Natural Science Foundation of China [11771225]
- Postgraduate Research & Practice Innovation Program of Jiangsu Province [KYCX17_1905]
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In this paper, a class of two-step modulus-based matrix splitting (TMMS) iteration methods are proposed to solve the implicit complementarity problems. It is proved that the TMMS iteration methods are convergent under certain conditions when the system matrix is either a positive definite matrix or an H+-matrix. Two numerical examples are given to illustrate the effectiveness of the new proposed iteration methods. Numerical results show that the new proposed TMMS iteration methods have better performance than the existing modulus-based relaxation iteration methods for solving the implicit complementarity problems.
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