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<p>In this work, a modulus-based synchronous two-stage multisplitting iteration method is constructed for the horizontal linear complementarity problems. The convergence conditions are obtained under the assumption that the system matrices are <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11075_2025_2215_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(H_+\)</EquationSource> </InlineEquation>-matrices. Numerical results show that the proposed method is more efficient than the known modulus-based synchronous multisplitting iteration method for solving large sparse horizontal linear complementarity problems.</p>

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A parallel iteration method based on two-stage multisplitting for solving horizontal linear complementarity problems

  • 期刊论文

  • 发表日期：

    2025年9月13日

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

摘要

In this work, a modulus-based synchronous two-stage multisplitting iteration method is constructed for the horizontal linear complementarity problems. The convergence conditions are obtained under the assumption that the system matrices are \(H_+\) -matrices. Numerical results show that the proposed method is more efficient than the known modulus-based synchronous multisplitting iteration method for solving large sparse horizontal linear complementarity problems.