Linear complementarity problems solvable as linear programs

Authors

  • Zakia Kebbiche Department of mathematics, Faculty of Sciences, University of Ferhat Abbas, Sétif1, Algeria

DOI:

https://doi.org/10.33993/jnaat472-1156

Keywords:

linear programming, linear complementarity problem, Lemke's algorithm, Karmarkar algorithm, simplex algorithm, hidden Z-matrix
Abstract views: 316

Abstract

In this paper, we present a theoretical and numerical study of linear complementary problems solvable as linear programs.

We give several examples of linear complementarity problems which can be solved as linear programs using linear programming appraoches. Also, we propose two examples solved by the simplex and Karmarkar's method, while the most widely know method for solving linear complementarity problems "the complementarity pivoting algorithm due to Lemke" has failed to find a solution.

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References

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Published

2018-12-31

How to Cite

Kebbiche, Z. (2018). Linear complementarity problems solvable as linear programs. J. Numer. Anal. Approx. Theory, 47(2), 150–158. https://doi.org/10.33993/jnaat472-1156

Issue

Vol. 47 No. 2 (2018)

Section

Articles

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Copyright (c) 2019 Journal of Numerical Analysis and Approximation Theory

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