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Convex set

Known as: Set, Convexity (mathematics), Convex 
In Euclidean space, a convex set is the region such that, for every pair of points within the region, every point on the straight line segment that… 
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Papers overview

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Highly Cited
2009
Highly Cited
2009
An insightful, concise, and rigorous treatment of the basic theory of convex sets and functions in finite dimensions, and the… 
Highly Cited
2003
Highly Cited
2003
Convex programming involves a convex set F ⊆ Rn and a convex cost function c : F → R. The goal of convex programming is to find a… 
Highly Cited
1999
Highly Cited
1999
Nonmonotone projected gradient techniques are considered for the minimization of differentiable functions on closed convex sets… 
Highly Cited
1996
Highly Cited
1996
The convex hull of a set of points is the smallest convex set that contains the points. This article presents a practical convex… 
Highly Cited
1996
Highly Cited
1996
\rm Linear and nonlinear variational inequality problems over a polyhedral convex set are analyzed parametrically. Robinson's… 
Highly Cited
1989
Highly Cited
1989
  • P. M. Vaidya
  • 1989
  • Corpus ID: 29555809
An algorithm for minimizing a convex function over a convex set is given. The notion of a volumetric center of a polytope and a… 
Highly Cited
1977
Highly Cited
1977
A new algorithm, CONVEX, that determines which points of a planar set are vertices of the convex hull of the set is presented. It… 
Highly Cited
1964
Highly Cited
1964
This note gives a construction for minimizing certain twice-differentiable functions on a closed convex subset C, of a Hubert… 
Highly Cited
1959
Highly Cited
1959
The method of successive approximation is applied to the problem of obtaining points of minimum distance on two convex sets… 
Highly Cited
1952
Highly Cited
1952
so that the set of all convex sets of L is a commutative semigroup under addition. If the situation had been such that it was not…