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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

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…