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A class of new modulus-based matrix splitting methods for linear complementarity problem
  • Shi-Liang Wu,
  • Cui-Xia Li
Shi-Liang Wu
Yunnan Normal University
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Cui-Xia Li
Yunnan Normal University
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Abstract

In this paper, to economically and fast solve the linear complementarity problem, based on a new equivalent fixed-point form of the linear complementarity problem, we establish a class of new modulus-based matrix splitting methods, which is different from the previously published works. Some sufficient conditions to guarantee the convergence of this new iteration method are presented. Numerical examples are offered to show the efficacy of this new iteration method. Moreover, the comparisons on numerical results show the computational efficiency of this new iteration method advantages over the corresponding modulus method, the modified modulus method and the modulus-based Gauss-Seidel method.

Peer review status:POSTED

14 Sep 2020Submitted to Mathematical Methods in the Applied Sciences
15 Sep 2020Assigned to Editor
15 Sep 2020Submission Checks Completed