An inner–outer modulus-based method for solving horizontal linear complementarity problems

doi:10.1007/s40314-025-03373-x

An inner–outer modulus-based method for solving horizontal linear complementarity problems

2025-08-19

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DOI：10.1007/s40314-025-03373-x

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In this work, for solving horizontal linear complementarity problems, an inner–outer iteration method is established, which can be seen as a two-stage iteration method where the inner iteration contains the modulus-based matrix splitting iteration. The convergence conditions are given for the proposed method based on $$H_+$$ -matrices assumptions. Specially, the theoretical results with respect to the popularly accelerated overrelaxation method is presented. Finally, numerical examples are illustrated to show the efficiency of proposed method.

Keywords:

Horizontal linear complementarity problem

Modulus-based method

Inner–outer iteration

An inner–outer modulus-based method for solving horizontal linear complementarity problems

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