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AIMS Mathematics

2023, Volume 8, Issue 6: 13368-13389. doi: 10.3934/math.2023677
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Research article

A new relaxed acceleration two-sweep modulus-based matrix splitting iteration method for solving linear complementarity problems

  • 1.
    Institute for Optimization and Decision Analytics, Liaoning Technical University, Fuxin 123000, China
  • 2.
    School of Mathematics and Statistics, FJKLMAA and Center for Applied Mathematics of Fujian Province, Fujian Normal University, Fuzhou 350007, China
  • 3.
    LMIB of the Ministry of Education, School of Mathematical Sciences, Beihang University, Beijing 100191, China
  • Received: 26 January 2023 Revised: 13 March 2023 Accepted: 15 March 2023 Published: 06 April 2023

  • MSC : 65F10, 65H10, 90C30

  • A new relaxed acceleration two-sweep modulus-based matrix splitting (NRATMMS) iteration method is developed to solve linear complementarity problems. The convergence of the NRATMMS method is established with the system matrix $ A $ being an $ H_{+} $-matrix. Numerical experiments show that the proposed method is superior to some existing algorithms under appropriate conditions.

    Citation: Dongmei Yu, Yiming Zhang, Cairong Chen, Deren Han. A new relaxed acceleration two-sweep modulus-based matrix splitting iteration method for solving linear complementarity problems[J]. AIMS Mathematics, 2023, 8(6): 13368-13389. doi: 10.3934/math.2023677

    Related Papers:

  • A new relaxed acceleration two-sweep modulus-based matrix splitting (NRATMMS) iteration method is developed to solve linear complementarity problems. The convergence of the NRATMMS method is established with the system matrix $ A $ being an $ H_{+} $-matrix. Numerical experiments show that the proposed method is superior to some existing algorithms under appropriate conditions.


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