Volume 12, Issue 3
Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Class of Implicit Complementarity Problems

Yan Wang ,  Jun-Feng Yin ,  Quan-Yu Dou and Rui Li

10.4208/nmtma.OA-2018-0034

Numer. Math. Theor. Meth. Appl., 12 (2019), pp. 867-883.

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  • Abstract

Modulus-based matrix splitting iteration methods were recently proposed for solving implicit complementarity problems. In this paper, to solve a class of implicit complementarity problems, two-step modulus-based matrix splitting iteration methods are presented and analyzed. The convergence theorems are established when the system matrix is an H+-matrix. Numerical results show that the proposed methods are efficient and can accelerate the convergence performance with less iteration steps and CPU time.

  • History

Published online: 2019-04

  • AMS Subject Headings

90C33, 65F10, 65F50

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