7 citations · 29 across the 17 of their papers we have counts for
4 papers · 1 filter
On the behavior of Lagrange multipliers in convex and non-convex infeasible interior point methods
Gabriel Haeser, Oliver Hinder, Yinyu Ye
We analyze sequences generated by interior point methods (IPMs) in convex and nonconvex settings. We prove that moving the primal feasibility at the same rate as the barrier parame…
On a conjecture in second-order optimality conditions
R. Behling, G. Haeser, A. Ramos +1
In this paper we deal with optimality conditions that can be verified by a nonlinear optimization algorithm, where only a single Lagrange multiplier is avaliable. In particular, we…
An extension of Yuan's Lemma and its applications in optimization
Gabriel Haeser
We prove an extension of Yuan's Lemma to more than two matrices, as long as the set of matrices has rank at most 2. This is used to generalize the main result of [A. Baccari and A.…
Optimality condition and complexity analysis for linearly-constrained optimization without differentiability on the boundary
Gabriel Haeser, Hongcheng Liu, Yinyu Ye
In this paper we consider the minimization of a continuous function that is potentially not differentiable or not twice differentiable on the boundary of the feasible region. By ex…