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A new error bound for linear complementarity problems with weakly chained diagonally dominant B-matrices

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  • Zhao, Ruijuan
  • Zheng, Bing
  • Liang, Maolin

Abstract

Recently, some error bounds for the linear complementarity problem with a weakly chained diagonally dominant B-matrix have been given under certain conditions. In this paper we provide a new and even optimal error bound for such linear complementarity problems under weaker conditions than those there, greatly improving the existing ones. Some numerical examples are performed to illustrate the sharpness and optimality of our new bound.

Suggested Citation

  • Zhao, Ruijuan & Zheng, Bing & Liang, Maolin, 2020. "A new error bound for linear complementarity problems with weakly chained diagonally dominant B-matrices," Applied Mathematics and Computation, Elsevier, vol. 367(C).
    • Handle: RePEc:eee:apmaco:v:367:y:2020:i:c:s0096300319307805
    DOI: 10.1016/j.amc.2019.124788
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    References listed on IDEAS

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    1. Jong-Shi Pang, 1987. "A Posteriori Error Bounds for the Linearly-Constrained Variational Inequality Problem," Mathematics of Operations Research, INFORMS, vol. 12(3), pages 474-484, August.
    2. M. Seetharama Gowda & Jong-Shi Pang, 1992. "On Solution Stability of the Linear Complementarity Problem," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 77-83, February.
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