9 citations · 9 across the 4 of their papers we have counts for
6 papers
The dual Z-property for the Lorentz cone
S. Z. Németh
The Z-property of a linear map with respect to a cone is an extension of the notion of Z-matrices. In a recent paper of Orlitzky (see Corollary 6.2 in M. Orlitzky. Positive and $\m…
Order isotonicity of the metric projection onto a closed convex cone
A. B. Németh, S. Z. Németh
The basic tool for solving problems in metric geometry and isotonic regression is the metric projection onto closed convex cones. Isotonicity of these projections with respect to a…
Projection onto simplicial cones by Picard's method
Jorge Barrios, Orizon P. Ferreira, Sándor Z. Németh
By using Moreau's decomposition theorem for projecting onto cones, the problem of projecting onto a simplicial cone is reduced to finding the unique solution of a nonsmooth system…
A semi-smooth Newton method for solving convex quadratic programming problem under simplicial cone constraint
J. G. Barrios, O. P. Ferreira, S. Z. Németh
In this paper the simplicial cone constrained convex quadratic programming problem is studied. The optimality conditions of this problem consist in a linear complementarity problem…
Isotonic regression and isotonic projection
A. B. Németh, S. Z. Németh
The note describes the cones in the Euclidean space admitting isotonic metric projection with respect to the coordinate-wise ordering. As a consequence it is showed that the metric…
Self-dual cones, generalized lattice operations and isotone projections
A. B. Németh, S. Z. Németh
By using the metric projection onto a closed self-dual cone of the Euclidean space, M. S. Gowda, R. Sznajder and J. Tao have defined generalized lattice operations, which in the pa…