4.6 Article

Two-step modulus-based matrix splitting iteration methods for implicit complementarity problems

期刊

NUMERICAL ALGORITHMS
卷 82, 期 4, 页码 1377-1394

出版社

SPRINGER
DOI: 10.1007/s11075-019-00660-7

关键词

Implicit complementarity problem; Modulus method; Matrix splitting; Convergence

资金

  1. National Natural Science Foundation of China [11771225]
  2. Postgraduate Research & Practice Innovation Program of Jiangsu Province [KYCX17_1905]

向作者/读者索取更多资源

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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