An Efficient Class of Modulus-Based Matrix Splitting Methods for Nonlinear Complementarity Problems.

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Authors: Shui-Lian Xie and Hong-Ru Xu
Date: Dec. 28, 2021
Publisher: Hindawi Limited
Document Type: Report
Length: 4,283 words
Lexile Measure: 990L

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Abstract :

In this paper, we present an efficient method for finding a numerical solution for nonlinear complementarity problems (NCPs). We first reformulate an NCP as an equivalent system of fixed-point equations and then present a modulus-based matrix splitting iteration method. We prove the convergence of the proposed method with theorems with the relevant conditions. Our preliminary numerical results show that the method is feasible and effective.

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Gale Document Number: GALE|A697641010