This study presents a new search direction for the horizontal linear complementarity problem. A vector-valued function is applied to system of xy=μe , which defines central path. Usually, way get equivalen...

A new method namely, algebraic elimination method is proposed for finding a complementarity feasible solution to the linear complementarity problem which have applications in non-linear programming, economics, game theory and engineering. Then, the algebraic elimination method is extended to quadratic programming problems. The solution procedure is illustrated by means of numerical examples.

One of the most important topic that consider in recent years by researcher is absolute value equation (AVE). The absolute value equation seems to be a useful tool in optimization since it subsumes the linear complementarity problem and thus also linear programming and convex quadratic programming. This paper introduce a new method for solving absolute value equation. To do this, we transform a...