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A Barzilai–Borwein type method for stochastic linear complementarity problems
Authors:Yakui Huang  Hongwei Liu  Sha Zhou
Institution:1. School of Mathematics and Statistics, Xidian University, Xi’an, 710126, People’s Republic of China
2. College of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, 541004, People’s Republic of China
Abstract:We consider the expected residual minimization (ERM) formulation of stochastic linear complementarity problem (SLCP). By employing the Barzilai–Borwein (BB) stepsize and active set strategy, we present a BB type method for solving the ERM problem. The global convergence of the proposed method is proved under mild conditions. Preliminary numerical results show that the method is promising.
Keywords:
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