Add to ORKGInternational audienceWe present a uniform boundedness property of a sequence of in- verses of Jacobian matrices that arises in regularized primal-dual interior-point methods in linear and nonlinear programming. We then show how this new result can be applied to the analysis of the global convergence properties of these methods. In particular, we will detail the convergence analysis of an interior point method to solve nonlinear optimization problems, with dynamic updates of the barrier parameter
Many recent convergence results obtained for primal-dual interior-point methods for nonlinear progra...
AbstractIn this paper, we present a new barrier function for primal–dual interior-point methods in l...
This thesis is devoted to the study of numerical algorithms for nonlinear optimization. On the one h...
International audienceWe present a uniform boundedness property of a sequence of in- verses of Jacob...
International audienceThis short communication analyses a boundedness property of the inverse of a J...
International audiencePrimal-dual interior-point methods are a well-known class of algorithms fornon...
International audienceIn this paper, we propose a modified primal-dual interior-point method for non...
AbstractRegularization techniques, i.e., modifications on the diagonal elements of the scaling matri...
Abstract. In this work, we first study in detail the formulation of the primal-dual interior-point m...
Carathéodory's lemma states that if we have a linear combination of vectors in n, we can rewrite thi...
robust primal-dual interior point algorithm for nonlinear programs ∗ Xinwei Liu†and Jie Sun‡ Abstrac...
We study the local convergence of a primal-dual interior point method for nonlinear programming. A l...
The aim of this paper is to show that the theorem on the global convergence of the Newton interior-...
This paper presents the convergence proof and complexity analysis of an interior-point framework tha...
Abstract An exact-penalty-function-based scheme--inspired from an old idea due to Mayne and Polak (M...
Many recent convergence results obtained for primal-dual interior-point methods for nonlinear progra...
AbstractIn this paper, we present a new barrier function for primal–dual interior-point methods in l...
This thesis is devoted to the study of numerical algorithms for nonlinear optimization. On the one h...
International audienceWe present a uniform boundedness property of a sequence of in- verses of Jacob...
International audienceThis short communication analyses a boundedness property of the inverse of a J...
International audiencePrimal-dual interior-point methods are a well-known class of algorithms fornon...
International audienceIn this paper, we propose a modified primal-dual interior-point method for non...
AbstractRegularization techniques, i.e., modifications on the diagonal elements of the scaling matri...
Abstract. In this work, we first study in detail the formulation of the primal-dual interior-point m...
Carathéodory's lemma states that if we have a linear combination of vectors in n, we can rewrite thi...
robust primal-dual interior point algorithm for nonlinear programs ∗ Xinwei Liu†and Jie Sun‡ Abstrac...
We study the local convergence of a primal-dual interior point method for nonlinear programming. A l...
The aim of this paper is to show that the theorem on the global convergence of the Newton interior-...
This paper presents the convergence proof and complexity analysis of an interior-point framework tha...
Abstract An exact-penalty-function-based scheme--inspired from an old idea due to Mayne and Polak (M...
Many recent convergence results obtained for primal-dual interior-point methods for nonlinear progra...
AbstractIn this paper, we present a new barrier function for primal–dual interior-point methods in l...
This thesis is devoted to the study of numerical algorithms for nonlinear optimization. On the one h...