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A Class of Smoothing Modulus-Based Iterative Method for Solving Implicit Complementarity Problems

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arxiv 2306.04999 v1 pith:6P2RWOAD submitted 2023-06-08 math.NA cs.NA

A Class of Smoothing Modulus-Based Iterative Method for Solving Implicit Complementarity Problems

classification math.NA cs.NA
keywords implicitcomplementaritysmoothingclassiterativemethodmodulus-basedproblems
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In this paper, a class of smoothing modulus-based iterative method was presented for solving implicit complementarity problems. The main idea was to transform the implicit complementarity problem into an equivalent implicit fixed-point equation, then introduces a smoothing function to obtain its approximation solutions. The convergence analysis of the algorithm was given, and the efficiency of the algorithms was verified by numerical experiment

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