International audienceThe aim of this note is to characterize the norm-closure of the barrier cone of a closed convex set in an arbitrary normed linear space by means of a new geometric object, the temperat
AbstractWe give a generalization of the notion of the norm of a linear functional and some applicati...
AbstractIn this article we give a new criterion for the existence of a bounded base for a cone P of ...
Abstract. Constructive properties of uniform convexity, strict convexity, near convexity, and metric...
International audienceThe aim of this note is to characterize the norm-closure of the barrier cone o...
AbstractThis paper proposes and compares several ways of measuring the degree of normality of a conv...
In this paper, we study the linear separation between a set and a convex cone. We introduce the conc...
135 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.The first part of this thesis...
The paper studies separation properties for subsets of the space (Formula presented.) of normlinear ...
In this paper we first extend from normed spaces to locally convex spaces some characterizations of ...
Preprint available at Optimization Online under the title "Einstein-Hessian barriers on convex cones...
International audienceSelf-concordant barriers are central in interior-point methods for conic progr...
We show that the universal barrier function of a convex cone introduced by Nesterov and Nemirovskii ...
[[abstract]]Four equivalent conditions for a convex cone in a Euclidean space to be an Fσ-set are gi...
Let K be a closed convex pointed cone in a finite imensional Hilbert space E. Assume K has a nonempt...
We examine best approximation by closed sets in a class of normed spaces with star-shaped cones. It ...
AbstractWe give a generalization of the notion of the norm of a linear functional and some applicati...
AbstractIn this article we give a new criterion for the existence of a bounded base for a cone P of ...
Abstract. Constructive properties of uniform convexity, strict convexity, near convexity, and metric...
International audienceThe aim of this note is to characterize the norm-closure of the barrier cone o...
AbstractThis paper proposes and compares several ways of measuring the degree of normality of a conv...
In this paper, we study the linear separation between a set and a convex cone. We introduce the conc...
135 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1984.The first part of this thesis...
The paper studies separation properties for subsets of the space (Formula presented.) of normlinear ...
In this paper we first extend from normed spaces to locally convex spaces some characterizations of ...
Preprint available at Optimization Online under the title "Einstein-Hessian barriers on convex cones...
International audienceSelf-concordant barriers are central in interior-point methods for conic progr...
We show that the universal barrier function of a convex cone introduced by Nesterov and Nemirovskii ...
[[abstract]]Four equivalent conditions for a convex cone in a Euclidean space to be an Fσ-set are gi...
Let K be a closed convex pointed cone in a finite imensional Hilbert space E. Assume K has a nonempt...
We examine best approximation by closed sets in a class of normed spaces with star-shaped cones. It ...
AbstractWe give a generalization of the notion of the norm of a linear functional and some applicati...
AbstractIn this article we give a new criterion for the existence of a bounded base for a cone P of ...
Abstract. Constructive properties of uniform convexity, strict convexity, near convexity, and metric...
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