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Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013 pp 551–558Cite as

Relaxed Two-Stage Multisplitting Algorithm for Linear Complementarity Problem

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 212))

Abstract

In this paper, the authors first set up relaxed two-stage algorithm for solving the linear complementarity problem, which is based on the two-stage splitting algorithm, parallel computation and the multisplitting algorithm. This new algorithm provides a specific realization for the multisplitting algorithm and generalizes many existing matrix splitting algorithms for linear complementarity problems and linear systems. And then, they establish the global convergence theory of the algorithm when the system matrix of the linear complementarity problem is an H-matrix, M-matrix, strictly or irreducibly diagonally dominant.

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References

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Acknowledgments

This work is supported by the Natural Science Foundation (No. S2011010001841) of Guangdong Province, China.

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Authors and Affiliations

  1. College of Computer Engineering and Technology, Guangdong Institute of Science and Technology, Zhuhai, 519090, Guangdong, People’s Republic of China

    Ban-xiang Duan

  2. Guangzhou College, Guangdong Institute of Science and Technology, Guangzhou, 510640, Guangdong, People’s Republic of China

    Dong-hai Zeng

Authors
  1. Ban-xiang Duan
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  2. Dong-hai Zeng
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Corresponding author

Correspondence to Ban-xiang Duan .

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Editors and Affiliations

  1. School of Science, Anhui University of Science & Technology, Huainan, China

    Zhixiang Yin

  2. Huazhong University of Science and Technology, Wuhan, China

    Linqiang Pan

  3. Anhui University of Science & Technology, Huainan, China

    Xianwen Fang

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© 2013 Springer-Verlag Berlin Heidelberg

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Cite this paper

Duan, Bx., Zeng, Dh. (2013). Relaxed Two-Stage Multisplitting Algorithm for Linear Complementarity Problem. In: Yin, Z., Pan, L., Fang, X. (eds) Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. Advances in Intelligent Systems and Computing, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37502-6_66

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  • DOI: https://doi.org/10.1007/978-3-642-37502-6_66

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37501-9

  • Online ISBN: 978-3-642-37502-6

  • eBook Packages: EngineeringEngineering (R0)

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