28 citations · 48 across the 14 of their papers we have counts for
14 papers
On the spherical quasi-convexity of quadratic functions on spherical self-dual convex sets
Orizon P. Ferreira, Sándor Z. Németh, Lianghai Xiao
In this paper, the spherical quasi-convexity of quadratic functions on spherically subdual convex sets is studied. Sufficient conditions for spherical quasi-convexity on sphericall…
On the spherical quasi-convexity of quadratic functions
O. P. Ferreira, S. Z. Németh, L. Xiao
In this paper the spherical quasi-convexity of quadratic functions on spherically convex sets is studied. Several conditions characterizing the spherical quasi-convexity of quadrat…
Linear complementarity problems on extended second order cones
S. Z. Németh, L. Xiao
In this paper, we study the linear complementarity problems on extended second order cones. We convert a linear complementarity problem on an extended second order cone into a mixe…
On the spherical convexity of quadratic functions
O. P. Ferreira, S. Z. Németh
In this paper we study the spherical convexity of quadratic functions on spherically convex sets. In particular, conditions characterizing the spherical convexity of quadratic func…
How to project onto extended second order cones
O. P. Ferreira, S. Z. Németh
The extended second order cones were introduced by S. Z. Németh and G. Zhang in [S. Z. Németh and G. Zhang. Extended Lorentz cones and variational inequalities on cylinders. J. Opt…
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…