On a hybrid experimental design
On Fenchel dual schemes in convex optimal control problems
On primal-dual stability in convex optimization.
On smoothing of parametric minimax-functions and generalized max-functions via regularization.
On some polynomial solvable cases of the generalized minimum spanning tree problem.
On some properties of paramonotone operators.
On strong continuity of derivatives of mappings
On the approximation of inconsistent inequality systems.
On the central path for nonlinear semidefinite programming
On the central path for nonlinear semidefinite programming
In this paper we study the well definedness of the central path associated to a given nonlinear (convex) semidefinite programming problem. Under standard assumptions, we establish that the existence of the central path is equivalent to the nonemptiness and boundedness of the optimal set. Other equivalent conditions are given, such as the existence of a strictly dual feasible point or the existence of a single central point.The monotonic behavior of the logarithmic barrier and the objective function...
On the decrease of a quadratic function along the projected-gradient path.
On the isoperimetric-type problems with current hyperplanes.
On the open mapping principle and convex multivalued mappings
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms. Part II. Applications.
On the Relation between Quadratic Termination and Convergence Properties of Minimization Algorithms. Part I. Theory.
On the set of weighted least squares solutions of systems of convex inequalities
On the use of semi-closed sets and functions in convex analysis
The main aim of this short note is to show that the subdifferentiability and duality results established by Laghdir (2005), Laghdir and Benabbou (2007), and Alimohammady et al. (2011), stated in Fréchet spaces, are consequences of the corresponding known results using Moreau-Rockafellar type conditions.
Optimal solutions of multivariate coupling problems
Some necessary and some sufficient conditions are established for the explicit construction and characterization of optimal solutions of multivariate transportation (coupling) problems. The proofs are based on ideas from duality theory and nonconvex optimization theory. Applications are given to multivariate optimal coupling problems w.r.t. minimal -type metrics, where fairly explicit and complete characterizations of optimal transportation plans (couplings) are obtained. The results are of interest...
Optimally Scaled Matrices, Necessary and Sufficient Conditions.