An Output-Sensitive Algorithm for Multi-Parametric LCPs with Sufficient Matrices

  title={An Output-Sensitive Algorithm for Multi-Parametric LCPs with Sufficient Matrices},
  author={Sebastiano Columbano and Komei Fukuda and Colin Neil Jones},
This paper considers the multi-parametric linear complementarity problem (pLCP) with sufficient matrices. The main result is an algorithm to find a polyhedral decomposition of the set of feasible parameters and to construct a piecewise affine function that maps each feasible parameter to a solution of the associated LCP in such a way that the function is affine over each cell of the decomposition. The algorithm is output-sensive in the sense that its time complexity is polynomial in the size of… CONTINUE READING


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