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The Block Principal Pivoting Algorithm for the Linear Complementarity Problem with an M‐Matrix

Author

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  • Xi-Ming Fang
  • Zhi-Jun Qiao
  • Heng-Jun Zhao

Abstract

The principal pivoting algorithm is a popular direct algorithm in solving the linear complementarity problem, and its block forms had also been studied by many authors. In this paper, relying on the characteristic of block principal pivotal transformations, a block principal pivoting algorithm is proposed for solving the linear complementarity problem with an M‐matrix. By this algorithm, the linear complementarity problem can be solved in some block principal pivotal transformations. Besides, both the lower‐order and the higher‐order experiments are presented to show the effectiveness of this algorithm.

Suggested Citation

  • Xi-Ming Fang & Zhi-Jun Qiao & Heng-Jun Zhao, 2019. "The Block Principal Pivoting Algorithm for the Linear Complementarity Problem with an M‐Matrix," Advances in Mathematical Physics, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:2976768
    DOI: 10.1155/2019/2976768
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    References listed on IDEAS

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    1. 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.
    2. Robert L. Graves, 1967. "A Principal Pivoting Simplex Algorithm for Linear and Quadratic Programming," Operations Research, INFORMS, vol. 15(3), pages 482-494, June.
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