The Inverse Problems of some Mathematical Programming Problems
Optimization and Control
2021-03-30 v1 Computational Complexity
Abstract
The non-convex quadratic orogramming problem and the non-monotone linear complementarity problem are NP-complete problems. In this paper we first show taht the inverse problem of determinning a KKT point of the non-convex quadratic programming problem is polynomial. We then show that the inverse problems of non-monotone linear complementarity problem are polynomial solvable in some cases, and in another case is NP-hard. Therefore we solve an open question raised by Heuberger on inverse NP-hard problems and prove that CoNP=NP.
Cite
@article{arxiv.2103.15337,
title = {The Inverse Problems of some Mathematical Programming Problems},
author = {Siming Huang},
journal= {arXiv preprint arXiv:2103.15337},
year = {2021}
}