Modulus-Based Multisplitting Iteration Method for a Class of Weakly Nonlinear Complementarity Problem

Guangbin Wang; Fuping Tan

doi:10.1007/s42967-020-00074-6

Communications on Applied Mathematics and Computation ›› 2020, Vol. 3 ›› Issue (3) : 419-427. DOI: 10.1007/s42967-020-00074-6

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Modulus-Based Multisplitting Iteration Method for a Class of Weakly Nonlinear Complementarity Problem

Guangbin Wang¹ ,
Fuping Tan²^,b

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Abstract

In this paper, we present a modulus-based multisplitting iteration method based on multisplitting of the system matrix for a class of weakly nonlinear complementarity problem. And we prove the convergence of the method when the system matrix is an $H_+$-matrix. Finally, we give two numerical examples.

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Guangbin Wang, Fuping Tan. Modulus-Based Multisplitting Iteration Method for a Class of Weakly Nonlinear Complementarity Problem. Communications on Applied Mathematics and Computation, 2020, 3(3): 419‒427 https://doi.org/10.1007/s42967-020-00074-6