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A relaxation two-step parallel modulus method without auxiliary variable for solving large sparse vertical linear complementarity problems

  • Wenxiu Guo,
  • Hua Zheng,
  • Xiaoping Lu,
  • Yongxiong Zhang,
  • Seakweng Vong

摘要

In this work, for solving large sparse vertical linear complementarity problems, a relaxation two-step modulus-based synchronous multisplitting method without auxiliary variable is constructed. The convergence conditions are presented for the proposed method, where the range of the relaxation parameters is obtained. By OpenACC framework, the proposed method is shown to be more efficient than the existing method with high speedups with numerical tests.