activity
20142019
most citedExtended Lorentz cones and mixed complementarity problems

28 citations · 39 across the 6 of their papers we have counts for

collaborators

6 papers

math.OC20192 cited

Stochastic Linear Complementarity Problems on Extended Second Order Cones

Sándor Zoltán Németh, Lianghai Xiao

In this paper, we study the stochastic linear complementarity problems on extended second order cones (stochastic ESOCLCP). We first convert the problem to a stochastic mixed compl…

math.OC20162 cited

Positive operators of Extended Lorentz cones

S. Z. Németh, G. Zhang

In this paper necessary conditions and sufficient conditions are given for a linear operator to be a positive operators of an Extended Lorentz cone. Similarities and differences wi…

math.OC2016

Linear complementarity on simplicial cones and the congruence orbit of matrices

A. B. Németh, S. Z. Németh

The congruence orbit of a matrix has a natural connection with the linear complementarity problem on simplicial cones formulated for the matrix. In terms of the two approaches -- t…

math.OC20162 cited

Isotone projection cones and Q-matrices

A. B. Németh, S. Z. Németh

Proper cones with the property that the projection onto them is isotone with respect to the order they induce are called isotone projection cones. Isotone projection cones and thei…

math.OC20165 cited

Conic optimization and complementarity problems

S. Z. Németh, Guohan Zhang

Although the Karush-Kuhn-Tucker conditions suggest a connection between a conic optimization problem and a complementarity problem, it is difficult to find an accessible explicit f…

math.OC201428 cited

Extended Lorentz cones and mixed complementarity problems

S. Z. Németh, G. Zhang

In this paper we extend the notion of a Lorentz cone. We call a closed convex set isotone projection set with respect to a pointed closed convex cone if the projection onto the set…