In this article we discuss the interior-point algorithm for the general complementarity problems (LCP) introduced by Tibor Illés, Marianna Nagy and Tamás Terlaky. Moreover, we present a various set of numerical results with the help of a code implemented in the C++ programming language. These results support the efficiency of the algorithm for both monotone and sufficient LCPs.
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 Illés T. Nagy M. Terlaky T.: A polynomial path-following interior point algorithm for general linear complementarity problems. Journal of Global Optimization 47/3. (2010) 329–342. https://doi.org/10.1007/s10898-008-9348-0
 Illés T. Nagy M. Terlaky T.: EP Theorem for Dual Linear Complementarity Problems. Journal of Optimization Theory and Applications 140/2. (2009) 233–238. https://doi.org/10.1007/s10957-008-9440-0
 Illés T. Nagy M. Terlaky T.: Polynomial Interior Point Algorithms for General Linear Complementarity Problems. Algorithmic Operations Research 5. (2010) 1–12.
 Kojima M. Megiddo N. Noma T. Yoshise A.: A Unified Approach to Interior Point Algorithms for Linear Complementarity Problems. Lecture Notes in Computer Science 538 Springer Verlag Berlin Germany. (1991)
 Darvay Zs. Takó I.: Computational comparison of primal-dual algorithms based on a new software. unpublished manuscript. (2012)
 Morapitiye S.: Sufficient Matrices. (accessed on 12 February 2019). http://math.bme.hu/~sunil/su-matrices/
 Darvay Zs. Illés T. Povh J. Rigó P. R.: Predictor-corrector interior-point algorithm for sufficient linear complementarity problems based on a new search direction. manuscript. (2019)
 Hock W. Shittkowski K.: Test Examples for Nonlinear Programming Codes. Lecture Notes in Economics and Mathematical Systems 187. Springer Berlin (1981) https://doi.org/10.1007/978-3-642-48320-2
 de Klerk E. E.-Nagy M.: On the complexity of computing the handicap of a sufficient matrix. Mathematical Programmming Serie A 129. (2011) 383–402. https://doi.org/10.1007/s10107-011-0465-z