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A modified modulus-based matrix splitting iteration method for solving implicit complementarity problems

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Abstract

In this paper, a modified modulus-based matrix splitting iteration method is established for solving a class of implicit complementarity problems. The global convergence conditions are given when the system matrix is a positive definite matrix or an H+-matrix, respectively. In addition, some numerical examples show that the proposed method is efficient.

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Acknowledgements

The authors would like to thank the reviewers for their helpful suggestions.

Funding

The work was supported by the National Natural Science Foundation of China (Grant No. 11601340), University of Macau (Grant No. MYRG2017-00098-FST), Macao Science and Technology Development Fund (Grant No. 050/2017/A), the Opening Project of Guangdong Provincial Engineering Technology Research Center for Data Sciences (Grant No. 2016KF11), and Science and Technology Planning Project of Shaoguan (Grant No. SHAOKE [2016]44/15).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Shaoguan University, Shaoguan, People’s Republic of China

    Hua Zheng

  2. Department of Mathematics, University of Macau, Macau, People’s Republic of China

    Seakweng Vong

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  1. Hua Zheng
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  2. Seakweng Vong
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Correspondence to Hua Zheng.

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Zheng, H., Vong, S. A modified modulus-based matrix splitting iteration method for solving implicit complementarity problems. Numer Algor 82, 573–592 (2019). https://doi.org/10.1007/s11075-018-0614-z

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