A Two-Step Modulus-Based Matrix Splitting Iteration Method Without Auxiliary Variables for Solving Vertical Linear Complementarity Problems

Hua Zheng; Xiaoping Lu; Seakweng Vong

doi:10.1007/s42967-023-00280-y

Communications on Applied Mathematics and Computation ›› 2023, Vol. 6 ›› Issue (4) : 2475-2492. DOI: 10.1007/s42967-023-00280-y

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A Two-Step Modulus-Based Matrix Splitting Iteration Method Without Auxiliary Variables for Solving Vertical Linear Complementarity Problems

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Abstract

In this paper, a two-step iteration method is established which can be viewed as a generalization of the existing modulus-based methods for vertical linear complementarity problems given by He and Vong (Appl. Math. Lett. 134:108344, 2022). The convergence analysis of the proposed method is established, which can improve the existing results. Numerical examples show that the proposed method is efficient with the two-step technique.

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Hua Zheng, Xiaoping Lu, Seakweng Vong. A Two-Step Modulus-Based Matrix Splitting Iteration Method Without Auxiliary Variables for Solving Vertical Linear Complementarity Problems. Communications on Applied Mathematics and Computation, 2023, 6(4): 2475‒2492 https://doi.org/10.1007/s42967-023-00280-y

Funding

University of Macau(MYRG2020-00035-FST); Scientific Computing Research Innovation Team of Guangdong Province(2021KCXTD052); University of Macau(MYRG2022-00076-FST); Technology Planning Project of Shaoguan(210716094530390); Science Foundation of Shaoguan University(SZ2020KJ01)