3 papers
math.OC2015
A semi-smooth Newton method for a special piecewise linear system with application to positively constrained convex quadratic programming
J. G. Barrios, J. Y. Bello Cruz, O. P. Ferreira +1
In this paper a special piecewise linear system is studied. It is shown that, under a mild assumption, the semi-smooth Newton method applied to this system is well defined and the…
math.OC2015
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…
math.OC2015
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…