Results 21 to 30 of about 43,460 (287)
A new kind of inner superefficient points
Journal of Inequalities and Applications, 2017 In this paper, some properties of the interior of positive dual cones are discussed. With the help of dilating cones, a new notion of inner superefficient points for a set is introduced.
Yihong Xu, Lei Wang, Chunhui Shao
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Journal of Inequalities and Applications, 2023 In this paper, we present an inexact multiblock alternating direction method for the point-contact friction model of the force-optimization problem (FOP).
Yaling Zhang, Xuewen Mu
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Geometric duality theory of cones in dual pairs of vector spaces [PDF]
, 2015 This paper will generalize what may be termed the "geometric duality theory" of real pre-ordered Banach spaces which relates geometric properties of a closed cone in a real Banach space, to geometric properties of the dual cone in the dual Banach space ...
Messerschmidt, Miek
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Spectrahedral cones generated by rank 1 matrices [PDF]
, 2014 Let ${\cal S}_+^n \subset {\cal S}^n$ be the cone of positive semi-definite matrices as a subset of the vector space of real symmetric $n \times n$ matrices.
Hildebrand, Roland
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On the convex cones arising from classifications of partial entanglement in the three qubit system
, 2019 In order to classify partial entanglement of multi-partite states, it is natural to consider the convex hulls, intersections and differences of basic convex cones obtained from partially separable states with respect to partitions of systems.
Han, Kyung Hoon, Kye, Seung-Hyeok
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Mathematics, 2020 The aim of this review paper is to recall known solutions for two Markov moment problems, which can be formulated as Hahn–Banach extension theorems, in order to emphasize their relationship with the following problems: (1) pointing out a previously ...
Octav Olteanu
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Characterization of isoperimetric sets inside almost-convex cones
, 2016 In this note we characterize isoperimetric regions inside almost-convex cones. More precisely, as in the case of convex cones, we show that isoperimetric sets are given by intersecting the cone with a ball centered at the origin.Comment: To appear in ...
Baer, Eric, Figalli, Alessio
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Sharp isoperimetric inequalities via the ABP [PDF]
, 2016 Given an arbitrary convex cone of Rn, we find a geometric class of homogeneous weights for which balls centered at the origin and intersected with the cone are minimizers of the weighted isoperimetric problem in the convex cone.
Cabré Vilagut, Xavier +2 more
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Extensions of convex functionals on convex cones [PDF]
Applicationes Mathematicae, 1998 Summary: We prove that under some topological assumptions (e.g. if \(M\) has nonempty interior in \(X\)), a convex cone \(M\) in a linear topological space \(X\) is a linear subspace if and only if each convex functional on \(M\) has a convex extension on the whole space \(X\).
Ignaczak, E., Paszkiewicz, A.
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Algorithms, 2023 This research addresses the efficient integration and sizing of flexible alternating current transmission systems (FACTS) in electrical distribution networks via a convex optimization approach.
Walter Gil-González +2 more
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