In this paper, we deal with unique solvability and numerical solution of absolute value
equations (AVE), Ax-B| x|= b,(A, B∈ ℝ nx n, b∈ ℝ n). Under some weaker conditions, a …

This paper presents an efficient gradient projection-based method for structural topological
optimization problems characterized by a nonlinear objective function which is minimized …

This paper is devoted to studying the global and finite convergence of the semi-smooth
Newton method for solving a piecewise linear system that arises in cone-constrained …

In this paper, we give a solution of the problem of projecting a point onto the intersection of
several closed convex sets, when a projection on each individual convex set is known. The …

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 …

In this paper a special semi-smooth equation associated to the second order cone is
studied. It is shown that, under mild assumptions, the semi-smooth Newton method applied …

In this paper, we extend and investigate the properties of the semi-smooth Newton method
when applied to a general projection equation in finite dimensional spaces. We first present …

In this paper, we deal with the resolution of the simplicial cone constrained convex quadratic
optimization (abbreviated SCQO). It is known that the optimality conditions of SCQO is only a …

In this thesis, we highlight, on one hand the unique solvability of the absolute value
equations where some sufficient weaker conditions are given. These results are also …

In this paper, an algorithm is proposed to find the nearest point of a convex cone to a given
vector, which is composed of a series of orthogonal projections. Some properties of this …