Joël Benoist

What is the subdifferential of the closed convex hull of a function

Given a function

A CHARACTERIZATION OF QUASICONVEX VECTOR-VALUED FUNCTIONS

f:\mathbb{R}^n \to ( { - \infty , + \infty } ]

Characterizations of convex and quasiconvex set-valued maps

and its closed convex hull

Dynamic updates of the barrier parameter in primal-dual methods for nonlinear programming

\overline {{\operatorname{co}}} f

The Douglas---Rachford algorithm for the case of the sphere and the line

, we consider the question of expressing the subdifferential of

Shaping the light amplified in a multimode fiber

\overline {{\operatorname{co}}} f

Study of a primal-dual algorithm for equality constrained minimization

in terms of the subdifferential of f. Under a fairly general assumption on the behavior of f at infinity, we obtain an explicit formula of the subdifferential of

First experimental demonstration of temporal hypertelescope operation with a laboratory prototype

\overline {{\operatorname{co}}} f

A local convergence property of primal-dual methods for nonlinear programming

from that of f and its asymptotic function.

The size of the Dini subdifferential

The aim of this paper is to characterize in terms of scalar quasiconvexity the vector-valued functions which are