Fenchel's duality theorem

Known as: Fenchel-Rockafellar duality, Fenche duality, Fenchel-Rockafellar duality theorem 
In mathematics, Fenchel's duality theorem is a result in the theory of convex functions named after Werner Fenchel. Let ƒ be a proper convex function… (More)
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1974-2018
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2012
2012
We present an iterative distributed version of Han’s parall el method for convex optimization that can be used for distributed… (More)
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2008
2008
By considering the epigraphs of conjugate functions, we extend the Fenchel duality, applicable to a (possibly infinite) family of… (More)
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Highly Cited
2008
Highly Cited
2008
We revisit the singular IIB supergravity solution describing M fractional 3branes on the conifold [hep-th/0002159]. Its 5-form… (More)
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2007
2007
Regularization is an approach to function learning that balances fit and smoothness. In practice, we search for a function f with… (More)
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2007
2007
We give new regularity conditions for convex optimization problems in separated locally convex spaces. We completely characterize… (More)
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2006
Highly Cited
2006
We describe an algorithmic framework for an abstract game which we term a convex repeated game. We show that various online… (More)
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2005
2005
In 1951, Fenchel discovered a special duality, which relates the minimization of a sum of two convex functions with the… (More)
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1996
1996
In 1952, Hoffman showed that the distance from any point to the solution set of a linear system is bounded above by a constant… (More)
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Highly Cited
1996
Highly Cited
1996
The aim of this paper is to work out a concrete example as well as to provide the general pattern of applications of Koszul… (More)
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Highly Cited
1992
Highly Cited
1992
We study convex programs that involve the minimization of a convex function over a convex subset of a topological vector space… (More)
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