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IGAOR and multisplitting IGAOR methods for linear complementarity problems
Authors:Sheng-Guo Li  Hao JiangLi-Zhi Cheng  Xiang-Ke Liao
Institution:
  • a School of Science, National University of Defense Technology, Changsha 410073, China
  • b School of Computer, National University of Defense Technology, Changsha 410073, China
  • Abstract:In this paper, we propose an interval version of the generalized accelerated overrelaxation methods, which we refer to as IGAOR, for solving the linear complementarity problems, LCP (M, q), and develop a class of multisplitting IGAOR methods which can be easily implemented in parallel. In addition, in regards to the H-matrix with positive diagonal elements, we prove the convergence of these algorithms and illustrate their efficiency through our numerical results.
    Keywords:Linear complementarity problems  Interval methods  GAOR  Matrix multisplitting  Convergence
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