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As applying the Levenberg-Marquardt method to the reformulation of linear complementarity problem, a modulus-based Levenberg-Marquardt method with nonmonotone line search is established and the global convergence result is presented. Numerical experiments show that the proposed method is efficient and outperforms the modulus-based matrix splitting iteration method. AMS subject classifications: 90C33, 65F10

The Modulus-Based Levenberg-Marquardt Method for Solving Linear Complementarity Problem